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Duplicate of Power Rule - Derivatives Flashcards | StudBud
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Duplicate of Power Rule - Derivatives
What is the derivative of sinx?
What is the derivative of 7cosx?
Duplicate of Power Rule - Derivatives
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calculus simple derivatives
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Answers
1
What is the derivative of 7cosx?
7sinx
-7cosx
7(cosx)-1
-7sinx
2
What is the derivative of sinx?
-cosx
-sinx
sinx
cosx
3
What is the slope of the tangent line of the function y=x
3
at x=2?
12
3
2
3x2
4
What is the derivative of 2/x?
2x-1
2x
-2x-2
-2x-1
5
d/dx(2x
-3
) = ?
-6x-4
-6x
-6x-2
-6/x4
6
What is f
5
(x)? f(x) = 3x
3
-9x+27
9
0
3
27
7
What is the derivative of cos(3x)?
sin(3x)
-3cos(3x)
3sin(3x)
-3sin(3x)
8
Given the displacement function f(t) = 8/t
2
, find the velocity at t=1.
-8 ft/sec
8 ft/sec
-16 ft/sec2
-16 ft/sec
9
What is the derivative of 9x?
x
0
-9
9
10
If f'(x) = 10x then which one could be f(x)?
f(x)=5x2-18
f(x)=5x2+9
f(x)=10
f(x)=5x2+10x
11
Find dy/dx if y = 2
4
?
0
16x3
16
8x3
12
Find the acceleration function if v(t)= 4t
2
+7 ?
a(t)=8t
a(t)=0
a(t)=4
a(t)=8
13
What is the equation of the tangent line of the function y=x
3
at x=2?
y-8=12(x+2)
y-8=12(x-2)
y=12x+1
y-12=8(x-2)
14
What is the derivative of ∜x?
.25x
.25x-.75
.5x
1/x-4
