Q. 57 - 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.

$\frac{\mathbf{d}}{\mathbf{d}\mathbf{r}}r{s}^{\mathbf{2}}$

Step-by-Step Solution

Answer

$\frac{\mathbf{d}}{\mathbf{dr}}r{s}^{\mathbf{2}}=s^2$

Step 1. Given Information

We need to find $\frac{\mathbf{d}}{\mathbf{dr}}r{s}^{\mathbf{2}}=$

Step 2. Finding Derivative

$\frac{d}{dr}r{s}^2=1s^2=s^2$