Q. 55 - Calculus

Question

Suppose that r is an independent variable, s is a function of r, and q is a constant. Calculate the derivatives in Exercises 53– 58. Your answers may involve r, s, q, or their derivatives.

$\frac{d}{dr}{q}^3$

Step-by-Step Solution

Answer

$\frac{d}{dr}{q}^3=3q^2\frac{dr}{dq}$

Step 1. Given Information

We need to find $\frac{d}{dr}{q}^3$

Step 2. Finding Derivative

$\frac{d}{dr}{q}^3=3q^2\frac{dr}{dq}$