the slope of the tangent line at any point

AP Calculus Review For Fall Final- Derivatives Pt 1 Flashcards

1

The derivative of tanx =

-cotx
tan2x
None of these
secxtanx

2

Related Rates

15 m/s
5 m/s
3 m/s
10 m/s

3

What is the equation of the tangent line?

B
A
D
C

4

Implicit Differentiation

3
3(dx/dx×y+x×dy/dx)
3(y+x×dy/dx)

5

Implicit Differentiation

0
4/5
5/4
-1

6

Write the equation of the tangent line

C
A
B
D

7

What is the derivative of e^x?

e1
ex
ln(x)
e

8

f, g, f', and g' are defined by the table. Find the derivative of f(g(x)) at x = 2.

C. 8
A. 6
B. 2
D. 4

9

Use what you know about the rules of natural log to find the derivative of : 4ln(x)

x/4
ln(4x)
4/x
4/e

10

You need to use the Product Rule & Chain Rule Here!!!

D
B
C
A

11

Find the derivative of sinx.

cosx
sinx
None of these
-cosx

12

What is the derivative of 1/x²

All of the above
-2x-3
-2/x3

13

What is the derivative of f(x)=5x³-3x²+4x-7?

fI(x)= 15x2-6x
fI(x)= 5-3+4-7
fI(x)= 15x2-6x+4
fI(x)= 15x2-6x+4-7

14

derivative of a^x

− 1 / x2
ax ln x
1 / x
ex

15

What is the derivative of f(x)=3xcos(x)

3cos(x)-3xsin(x)
3sin(x)+3xsin(x)
3cos(x) + 3sin(x)
3

16

The derivative is

the slope of the secant line at a specific point
the slope of the tangent line at a specific point
the slope of the tangent line at any point
the slope of the secant line at any point

AP Calculus Review For Fall Final- Derivatives Pt 1

Questions 16

AP Calculus Review For Fall Final- Derivatives Pt 1

Questions 16