Calculating Derivative – A polynom – Exercise 6264

Exercise

Find the derivative of the following function:

$f(x)={(2x-7)}^{20}$

Final Answer

Show final answer

Solution

$f(x)={(2x-7)}^{20}$

Using Derivative formulas and chain rule in Derivative Rules, we get the derivative:

$f'(x)=20{(2x-7)}^{19}\cdot 2=$

One can simplify the derivative:

$=40{(2x-7)}^{19}$

Have a question? Found a mistake? – Write a comment below!
Was it helpful? You can buy me a cup of coffee here, which will make me very happy and will help me upload more solutions!