Derivative Rules

Here’s what you can do in derivative calculations:

• Multiplication by constant Rule:

$(af(x))'=af'(x)$

• Sum Rule:

$(f(x)+g(x))'=f'(x)+g'(x)$

• Difference Rule:

$(f(x)-g(x))'=f'(x)-g'(x)$

• Product Rule:

$(f(x)\cdot g(x))'=f'(x)g(x)+f(x)g'(x)$

• Quotient Rule:

$(\frac{f(x)}{g(x)})'=\frac{f'(x)g(x)-f(x)g'(x)}{g^2(x)}$

• Chain Rule:

$(f(g(x)))'=f'(g(x))g'(x)$

Press here for exercises and solutions in derivatives

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