Question

Differentiate with respect to x:f(x)=(ax3+bx)

3ax2+b
ax^2+b
3x^2+1
3ax^2+x

Answer 1

Answer on Question # 47077 – Math – Differential Calculus | Equations

Task:

Differentiate with respect to $x$: $f(x) = ax^3 + bx$

A. $3ax^2 + b$

B. $ax^2 + b$

C. $3x^2 + 1$

D. $3ax^2 + x$

Solution:

$$\frac{d}{dx}(f(x)) = \frac{d}{dx}(ax^3 + bx) = 3ax^2 + b$$

We apply differentiation rules to the sum of functions and to the powers.

Correct answer is A. $3ax^2 + b$.

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