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Chapter 2: Q. 53 (page 210)

Suppose that r is an independent variable, s is a function of r, and q is a constant. Calculate the derivatives in Exercises 53鈥� 58. Your answers may involve r, s, q, or their derivatives.
$\frac{d}{d r} s^{3}$

Short Answer

Expert verified

Thus, $\frac{d}{d r} s^{3} = 3 s^{2} \frac{d s}{d r}$

Step by step solution

Step 1. Given Information

We need to find $\frac{d}{d r} s^{3}$

Step 2. Finding Derivative

$\frac{d}{d r} s^{3} = 3 s^{2} \frac{d s}{d r}$

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Suppose that r is an independent variable, s is a function of r, and q is a constant. Calculate the derivatives in Exercises 53鈥� 58. Your answers may involve r, s, q, or their derivatives.ddrs3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding Derivative

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Suppose that r is an independent variable, s is a function of r, and q is a constant. Calculate the derivatives in Exercises 53鈥� 58. Your answers may involve r, s, q, or their derivatives.
$\frac{d}{d r} s^{3}$