Find the derivative of f(x)=x^5+8x^3+3x^2+2.


Find the derivative of {eq}f(x)=x^5+8x^3+3x^2+2 {/eq}.

Differential Calculus:

Differential calculus is used to find the derivative of a function with respect to the independent variable. The given function is an algebraic function and so the following formula must be used to find the derivative of the function.

{eq}\displaystyle \frac{d}{dx} x^n=nx^{n-1} {/eq}

Answer and Explanation:

{eq}\begin{align*} f(x)&=x^5+8x^3+3x^2+2\\ f'(x)&=5x^4+24x^2+6x&\text{[Differentiate using the formula]} \end{align*} {/eq}

Learn more about this topic:

Differential Calculus: Definition & Applications

from Calculus: Help and Review

Chapter 13 / Lesson 6

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