Chapter 5 Practice Test Flashcards Preview

AP Calculus AB > Chapter 5 Practice Test > Flashcards

Flashcards in Chapter 5 Practice Test Deck (20):
1

If sin x = 1/3, what is cos x ?

2√2/3

2

What is the derivative of f (x) = x sin x ?

sin x + x cos x

3

Compute the derivative of the function f(x)=cot(2x−1)?

-2csc^2(2x-1)

4

Compute the derivative of the function f(x)=tan(2x+1).

2sec^2(2x + 1)

5

What is the derivative of the function
f(x)=sin^3x+sec^3x?

3sin^2xcosx+3sec^3xtanx

6

What is the derivative of the function
f(x)=xsinx+1/cosx?

sinxcosx+x+sinx/cos^2x

7

What is the derivative of f(x)=e^2x

2e^2x

8

What is the derivative of y=xe^x+x^2 ?

e^x + xe^x + 2x

9

What is the derivative of f(x)=e^x+e−x/2?

e^x−e^−x/2

10

What is the derivative of the function f(x)=e^x−1/x^2+1?

x^2ex−2xex+ex+2x/(x^2+1)^2

11

What is the derivative of the function f(x)=e^xsinx?

e^xcosx+e^xsinx

12

What is the derivative of the function f(x) =e^x+1−1?

e^x+1

13

What is the derivative of the function
f(x) =x sinx/e^x−1?

(sinx+xcosx)(e^x−1)−xe^x sinx/(e^x−1)^2

14

What is the derivative of f (x) = ln 2x ?

1 / x

15

What is the derivative of f (x) = 2^x?

2^x ln 2

16

What is the derivative of y = x ln x − x ?

ln x

17

What is the derivative of the function
f (x) = sin x (e^x ) − cos x (e ^2x )?

e^x cos x + e^x sin x + e^2x sin x − 2e^2x cos x

18

What is the derivative of the function
f (x) = x^x?

x^x(lnx+1)

19

What is the derivative of the function f(x)=√ln2x?

1/2x√ln2x

20

What is the derivative of the function
f (x) = ln (x + ln x)?

1/x+lnx (1+1x)

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