Question

Differentiate with respect to x:f(x)=(8x^3+x^2)

8x^3−x
24x^2−2x
2x^2−2
8x^2−x

Answer 1

www.AssignmentExpert.com

Answer on Question # 47078 – Math – Differential Calculus | Equations

Task:

Differentiate with respect to $x$:

$$f(x) = 8x^3 + x^2$$

A. $8x^3 - x$

B. $24x^2 - 2x$

C. $2x^2 - 2$

D. $8x^2 - x$

Solution:

$$\frac{d}{dx}(f(x)) = \frac{d}{dx}(8x^3 + x^2) = 24x^2 + 2x,$$

We applied differentiation rule for the sum of functions and differentiation of powers.