16 Basic Derivatives for Calculus AB Flashcards

1

Give the derivative of csc^-1 x

-1/ x√ x2 -1
-1/ √ x2 -1
1/ x√ x2 -1
-1/ x√ 1-x2

2

The derivative means all BUT which of the following?

slope of the tangent line
rate of change
instantaneous velocity
average velocity

3

y=sin^-1x then y' = ?

1/ √ x2-1
1/ √ 1-x2
-1/ √ 1-x2
-1/ √ x2-1

4

If y = e^x then dy/dx = ?

ex
x
xe
xex-1

5

The derivative of f(x) = sec(x) is ?

cot2x
tan2x
secxtanx
-csc2x

6

Find the derivative of csc(x).

sec2x
cscxcotx
-csc2x
-cscxcotx

7

y = tan^-1x, dy/dx = ?

1/ √ x2 -1
-1/ 1+x2
1/ √ 1-x2
1/ 1+x2

8

if f(x)=lnx then f '(x) = ?

1 / x
x-1
x
x2

9

Find the derivative of f(x) = cos(x).

-cotx
tanx
-sinx
sinx

10

y = sec^-1 x, dy/dx = ?

1/ 1+x2
1/ √ x2 -1
1/ x√ x2 -1
1/ x√ 1-x2

11

Find the derivative of f(x) = tan(x).

cotxcscx
sec2x
secxtanx
-csc2x

12

y=log_a x, then dy/dx = ?

1/ xlna
1 / lna
1 / x
-1/ x

13

Find the derivative of f(x) = cot(x).

csc2x
-sec2x
-csc2x
sec2x

14

Give the derivative of cos^-1x

-1/ 1+x2
1/ √ 1-x2
-1/ √ 1-x2
-1/ √ x2-1

15

The derivative of cot^-1 x is ?

1/ 1+x2
-1/ 1+x2
-1/ 1-x2
-1/ x2 -1

16

Find the derivative of f(x)=sin(x).

-cosx
-cotx
tanx
cosx

17

The derivative of a^x is ?

ax
a lnx
ax lna
x ax-1

16 Basic Derivatives for Calculus AB

Questions 17

16 Basic Derivatives for Calculus AB

Questions 17