The derivative of f ( x ) = − 3 sin x 3 .

Question

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Answer 1

Question

Chapter 3.3, Problem 53E

(a)

To determine

To calculate: The derivative of f(x)=−3sinx3.

(b)

To determine

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

(c)

To determine

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

(d)

To determine

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

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Answer 2

Question

Chapter 3.3, Problem 53E

(a)

To determine

To calculate: The derivative of f(x)=−3sinx3.

(b)

To determine

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

(c)

To determine

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

(d)

To determine

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

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Answer 3

Question

Chapter 3.3, Problem 53E

(a)

To determine

To calculate: The derivative of f(x)=−3sinx3.

(b)

To determine

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

(c)

To determine

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

(d)

To determine

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

Expert Solution & Answer

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Answer 4

Question

Chapter 3.3, Problem 53E

(a)

To determine

To calculate: The derivative of f(x)=−3sinx3.

(b)

To determine

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

(c)

To determine

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

(d)

To determine

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

Expert Solution & Answer

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Answer 5

Chapter 3.3, Problem 53E

(a)

To determine

To calculate: The derivative of f(x)=−3sinx3.

(b)

To determine

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

(c)

To determine

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

(d)

To determine

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

Answer 6

Chapter 3.3, Problem 53E

(a)

To determine

To calculate: The derivative of f(x)=−3sinx3.

Answer 7

Chapter 3.3, Problem 53E

(a)

To determine

To calculate: The derivative of f(x)=−3sinx3.

Answer 8

(b)

To determine

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

Answer 9

(b)

To determine

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

Answer 10

(c)

To determine

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

Answer 11

(c)

To determine

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

Answer 12

(d)

To determine

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

Answer 13

(d)

To determine

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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The derivative of f ( x ) = − 3 sin x 3 .

Solution Summary: The author explains how to calculate the derivative of f(x)=-3mathrmsinx.

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To calculate: The derivative of f(x)=−3sinx3.

To Graph: The function f(x)=−3sinx3 and its derivative in the same coordinate axes on the interval [0,6π].

To calculate: The critical numbers of f(x)=−3sinx3 in the interval (0,6π).

To calculate: The intervals where f'(x)=−cosx3 is positive and the interval where it is negative. Also, compare the behaviour of f and the sign of f’.

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