The approximate value of f ′ ( x ) when f ( x ) = | sin x | if the function is differentiable at the point a = 0 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Given lim x-4 f (x) = 1,limx-49 (x) = 10, and lim→-4 h (x) = -7 use the limit properties to find lim→-4 1 [2h (x) — h(x) + 7 f(x)] : - h(x)+7f(x) 3 O DNE

17. Suppose we know that the graph below is the graph of a solution to dy/dt = f(t). (a) How much of the slope field can you sketch from this information? [Hint: Note that the differential equation depends only on t.] (b) What can you say about the solu- tion with y(0) = 2? (For example, can you sketch the graph of this so- lution?) y(0) = 1 y AN

(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

Answer 2

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 6

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

Answer 7

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

Answer 8

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 9

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 13

Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Prob. 6E Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E

The approximate value of f ′ ( x ) when f ( x ) = | sin x | if the function is differentiable at the point a = 0 .

Solution Summary: The author explains that the function is not differentiable at a=0, but the value is -1and1 respectively.

Videos

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Want to see the full answer?

Chapter 16 Solutions