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    • One Variable Functions
      • Domain of One Variable Function
      • Function Properties
        • Injective Function
      • Limit of Function by Definition
      • Calculating Limit of Function
      • Function Continuity
        • Continuity by Definition
        • Continuity Theorems
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        • Spherical and Cylindrical Coordinates
        • Calculating Volume Using Triple Integrals
        • Calculating Mass Using Triple Integrals
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      • Calculating Limit of Series
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CALCULUS ONLINE
  • Calculus Solutions
    • One Variable Functions
      • Domain of One Variable Function
      • Function Properties
        • Injective Function
      • Limit of Function by Definition
      • Calculating Limit of Function
      • Function Continuity
        • Continuity by Definition
        • Continuity Theorems
      • Derivative
        • Derivative by Definition
        • Calculating Derivative
        • Proving Derivative Existence
        • Derivative Theorems
      • Linear Approximation
      • Extremum, Increase and Decrease Sections
      • Inflection, Convex and Concave Sections
      • Asymptotes
      • Function Investigation
    • Integrals
      • Indefinite Integral
      • Definite Integral
      • Improper Integral
      • Riemann Sum
      • Fundamental Theorem of Calculus
    • Multivariable Functions
      • Domain of Multivariable Function
      • Calculating Multivariable Limit
      • Continuity of Multivariable Functions
      • Multivariable Derivative
        • Partial Derivative
        • Multivariable Chain Rule
        • Derivative of Implicit Multivariable Function
        • Differential
      • Multivariable Linear Approximation
      • Homogeneous Functions
      • Extremum
        • Local Extremum
        • Global Extremum
    • Multivariable Integrals
      • Double Integrals
        • Calculating Double Integral
        • Calculating Area Using Double Integrals
        • Calculating Mass Using Double Integrals
        • Calculating Volume Using Double Integrals
        • Polar Coordinates
      • Triple Integrals
        • Calculating Triple Integral
        • Spherical and Cylindrical Coordinates
        • Calculating Volume Using Triple Integrals
        • Calculating Mass Using Triple Integrals
      • Line Integrals
      • Surface Integrals
    • Series
      • Limit of Series by Definition
      • Calculating Limit of Series
    • Sums of Series
      • Infinite Series
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      • Different Representations of Curves
      • Vector Derivative and Tangent
      • Vector Uses in Physics
      • Gradient
      • Directional Derivative
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      • Polynomial Long Division
    • Theory
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  • Calculus Solutions
    • One Variable Functions
      • Domain of One Variable Function
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        • Injective Function
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      • Calculating Limit of Function
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      • Derivative
        • Derivative by Definition
        • Calculating Derivative
        • Proving Derivative Existence
        • Derivative Theorems
      • Linear Approximation
      • Extremum, Increase and Decrease Sections
      • Inflection, Convex and Concave Sections
      • Asymptotes
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      • Indefinite Integral
      • Definite Integral
      • Improper Integral
      • Riemann Sum
      • Fundamental Theorem of Calculus
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      • Domain of Multivariable Function
      • Calculating Multivariable Limit
      • Continuity of Multivariable Functions
      • Multivariable Derivative
        • Partial Derivative
        • Multivariable Chain Rule
        • Derivative of Implicit Multivariable Function
        • Differential
      • Multivariable Linear Approximation
      • Homogeneous Functions
      • Extremum
        • Local Extremum
        • Global Extremum
    • Multivariable Integrals
      • Double Integrals
        • Calculating Double Integral
        • Calculating Area Using Double Integrals
        • Calculating Mass Using Double Integrals
        • Calculating Volume Using Double Integrals
        • Polar Coordinates
      • Triple Integrals
        • Calculating Triple Integral
        • Spherical and Cylindrical Coordinates
        • Calculating Volume Using Triple Integrals
        • Calculating Mass Using Triple Integrals
      • Line Integrals
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      • Calculating Limit of Series
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      • Vector Derivative and Tangent
      • Vector Uses in Physics
      • Gradient
      • Directional Derivative
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      • Powers and Roots
      • Logarithms
      • Equations
      • Inequalities
      • Polynomial Long Division
    • Theory
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Calculus-Online » Calculus Solutions » One Variable Functions » Derivative » Derivative Theorems

Derivative Theorems
Exercises and solutions in the subject:

Derivative Theorems – Proof of inequality – Exercise 2151

Continue ReadingDerivative Theorems – Proof of inequality – Exercise 2151

Derivative Theorems – Finding a maximum value – Exercise 2154

Continue ReadingDerivative Theorems – Finding a maximum value – Exercise 2154

Derivative Theorems – Root existence – Exercise 2159

Continue ReadingDerivative Theorems – Root existence – Exercise 2159

Derivative Theorems – Proof of inequality – Exercise 2162

Continue ReadingDerivative Theorems – Proof of inequality – Exercise 2162

Derivative Theorems – Proof of inequality – Exercise 2164

Continue ReadingDerivative Theorems – Proof of inequality – Exercise 2164

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    • Multivariable Integrals (55)
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        • Calculating Double Integral (7)
        • Calculating Mass Using Double Integrals (1)
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        • Calculating Mass Using Triple Integrals (2)
        • Calculating Triple Integral (5)
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        • Spherical and Cylindrical Coordinates (6)
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    • Calculus Solutions
      • One Variable Functions
        • Domain of One Variable Function
        • Function Properties
          • Injective Function
        • Limit of Function by Definition
        • Calculating Limit of Function
        • Function Continuity
          • Continuity by Definition
          • Continuity Theorems
        • Derivative
          • Derivative by Definition
          • Calculating Derivative
          • Proving Derivative Existence
          • Derivative Theorems
        • Linear Approximation
        • Extremum, Increase and Decrease Sections
        • Inflection, Convex and Concave Sections
        • Asymptotes
        • Function Investigation
      • Integrals
        • Indefinite Integral
        • Definite Integral
        • Improper Integral
        • Riemann Sum
        • Fundamental Theorem of Calculus
      • Multivariable Functions
        • Domain of Multivariable Function
        • Calculating Multivariable Limit
        • Continuity of Multivariable Functions
        • Multivariable Derivative
          • Partial Derivative
          • Multivariable Chain Rule
          • Derivative of Implicit Multivariable Function
          • Differential
        • Multivariable Linear Approximation
        • Homogeneous Functions
        • Extremum
          • Local Extremum
          • Global Extremum
      • Multivariable Integrals
        • Double Integrals
          • Calculating Double Integral
          • Calculating Area Using Double Integrals
          • Calculating Mass Using Double Integrals
          • Calculating Volume Using Double Integrals
          • Polar Coordinates
        • Triple Integrals
          • Calculating Triple Integral
          • Spherical and Cylindrical Coordinates
          • Calculating Volume Using Triple Integrals
          • Calculating Mass Using Triple Integrals
        • Line Integrals
        • Surface Integrals
      • Series
        • Limit of Series by Definition
        • Calculating Limit of Series
      • Sums of Series
        • Infinite Series
        • Power Series
        • Function Series
        • Taylor Series
      • Vectors and Analytical Geometry
        • Vectors
        • Analytical Geometry
      • Vector Functions
        • Different Representations of Curves
        • Vector Derivative and Tangent
        • Vector Uses in Physics
        • Gradient
        • Directional Derivative
      • Basic Calculus
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        • Logarithms
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        • Inequalities
        • Polynomial Long Division
      • Theory
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