Chapter 5 Test Flashcards Preview

AP Calculus AB > Chapter 5 Test > Flashcards

Flashcards in Chapter 5 Test Deck (20):
1

If sin x = 3/5, what is tan x ?

3/4

2

Find dy/dx of y=(3x^2−2)sin2x

6xsin^2x+2(3x^2−2)sinxcosx

3

Compute the derivative of the function f(x)=x^2−1/sinx?

2xcscx−(x^2−1)cotxcscx

4

Compute the derivative of the function f (x) = sec x.

tan x sec x

5

What is the derivative of the function f(x)=sin^2x+tan(x^2+1)?

2sinxcosx+2xsec^2(x^2+1)

6

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

−2cosx/(sinx−1)^2

7

Find the derivative of f(x)=e^x^2.

2xe^x^2

8

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

e^x+e^−x/2

9

What is the derivative of y=e^x−e^−x/e^x+e^−x?

4/(e^x+e^−x)^2

10

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

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

11

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

e^sinx*cosx

12

What is the derivative of the function f(x) =x^3+2e^2x?

3x^2+4e^2x

13

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

(1+x)[(1+e^−x)cosx+(−e^−x)sinx]−(1+e^−x)sinx/(1+x)^2

14

What is the derivative of f(x)=ln1/x?

−1/x

15

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

2x ln x + x

16

What is the derivative of the function f(x)=lnx−1/lnx+1

2/x(lnx+1)^2

17

What is the derivative of the function
f (x) = log _x  2?

−ln2/x(lnx)^2

18

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

1/x+√x^2−1 * (1+x/√x^2−1)

19

What is the derivative of the function
f(x)=ln√x+1/x−1?

−1/(x+1)(x−1)

20

What is the derivative of the function
f(x)=lnx/lnx−1?

−1/x(lnx−1)^2

Decks in AP Calculus AB Class (190):