Q. 53

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.

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

Step-by-Step Solution

Verified

Answer

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

1Step 1. Given Information

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

2Step 2. Finding Derivative

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

Q. 52

Q. 54

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Q. 51

Calculate each of the derivatives or derivative values in Exercises 47–52.d3dx3x3x2+19x=0

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Q. 52

Calculate each of the derivatives or derivative values in Exercises 47–52.ddxx2+1x2+43x-2x=-1

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Q. 54

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 invo

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Q. 55

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 invo

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