Find {eq}f'(x) {/eq} for {eq}f(x)=(x^3+2x)^2(1+ \sin x) {/eq}


Find {eq}f'(x) {/eq} for {eq}f(x)=(x^3+2x)^2(1+ \sin x) {/eq}


We will find the derivative of the function by using the chain rule and also we will use the product rule and then we will simplify the expression. {eq}u=fg\\ u'=fg'+f'g {/eq}

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To find the derivative we will use the product rule:

{eq}u=fg\\ u'=fg'+f'g {/eq}

Now let us write the function:


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How to Compute Derivatives


Chapter 20 / Lesson 1

Understand what derivative calculus is and how to find the derivative of a function. Learn the derivative rules, and practice taking derivatives by following examples.

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