Home Library Explore SAT

Home Library Explore SAT

Basic Derivative Rules Flashcards | StudBud

Explore/Basic Derivative Rules

Basic Derivative Rules

12 terms·StudBud Administration·93 plays

Quiz over the basic derivative rules including power rule, sin(x), cos(x), e^x, and ln(x)

Flashcards12 cardsFPractice quizPHost liveL

Questions 12

Answers

1
Find the equation of the tangent line to the graph f(x)=ln(x) at the point (1,0).
y = x+1
y = x-1
vertical line
y = 1
2
Find the average rate of change.
-3/2
3/2
1
1/2
3
Find the derivative. (hint: simplify first)
f'(x) = 3x - 3 + 2/x
f'(x) = 2 - 4/x2
f'(x) = 2x - 3 + 4/x
y' = (6x2 - 6x + 4)/(2x)
4
Find the derivative
DNE
pi
0
1
5
Find the derivative.
f'(x) = -3x
f'(x) = 3x2 + 6
f'(x) = 3x2 - 6x
f'(x) = 0
6
Find the given limit:
1/2
-1/2
0
infinity
7
Find the derivative. (use prior hints)
f'(x) = -1/(2x3/2) - 12x2 - 3/x2
f'(x) = 1/(2x1/2) - 12x2 - 3/x2
f'(x) = -1/(2x3/2) - 12x2 + 3/x2
f'(x) = x-1/2 - 12x2 + 3x-1
8
Horizontal tangents?
x = 6, x = -2
x = -6, x = 2
x = 3
x = 3, x = 4
9
Find the derivative
5x-e^x
5x
10x+e^x
5/4x-e^x
10
Find the derivative.
f'(t) = -3sin(t) - (1/4)cos(t)
f'(t) = 3sin(t) + (1/4)cos(t)
f'(t) = 3cos(t) - (1/4)sin(t)
f'(t) = -3cos(t) + (1/4)sin(t)
11
Find the derivative. (Hint: rewrite using a negative exponent)
f'(t) = (4/3)t
f'(t) = (-4/3)t3
f'(t) = 4/(3t3)
f'(t) = -4/(3t3)
12
Find the derivative.
f'(x) = 1/(2x1/2) + 1/(2x3/2)
f'(x) = 1/(2x)1/2 + 1/(2x)3/2
f'(x) = (1/2)x - (-1/2)x
f'(x) = 1/(2x1/2) - 1/(2x3/2)