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Chapter 2: Q. 55 (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– 58. Your answers may involve r, s, q, or their derivatives.
$\frac{d}{d r} q^{3}$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information

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

Step 2. Finding Derivative

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

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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– 58. Your answers may involve r, s, q, or their derivatives.
$\frac{d}{d r} q^{3}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding Derivative

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Most popular questions from this chapter

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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– 58. Your answers may involve r, s, q, or their derivatives.ddrq3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding Derivative

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Calculus

Applied Mathematics

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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.
$\frac{d}{d r} q^{3}$