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Derivative Rules Flashcards | StudBud
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Derivative Rules
Derivative Rules
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1
Find the derivative.
f'(x) = 3x - 3 + 2/x
f'(x) = 2 - 4/x2
f'(x) = 2x - 3 + 4/x
y' = (6x2 - 6x + 4)/(2x)
2
Find f'(3) for the function below:
2x-5
-6
5
1
3
Find f'(x) for the function below:
-21x-6-5
-21x-8
-21x-8-5
-21x-6
4
Find the derivative
DNE
pi
1
0
5
Find f'(x) for f(x)=x⋅\cos x
x\left(\sin x\right)+\cos x\left(1\right)
x\left(-\sin x\right)+\cos x\left(1\right)
1⋅\sin x
1⋅\left(-\sin x\right)
6
Find dy/dx for the function below:
-5/x
-5lnx
x/-5
5/x
7
Find the derivative of f(x) below at x=5.
-10-3e5
-10-3e5
-10-3ex
10-3ex
8
Find f'(x) for f(x) below.
f'(x)=cosx+sinx
f'(x)=-cosx-sinx
f'(x)=cosx-sinx
f'(x)=-cosx+sinx
9
Find the derivative.
f'(t) = (-4/3)t3
f'(t) = (4/3)t
f'(t) = -4/(3t3)
f'(t) = 4/(3t3)
10
Find the derivative.
f'(x) = (1/2)x - (-1/2)x
f'(x) = 1/(2x)1/2 + 1/(2x)3/2
f'(x) = 1/(2x1/2) + 1/(2x3/2)
f'(x) = 1/(2x1/2) - 1/(2x3/2)
11
Find dy/dx for the function below:
e0
0
ex
e
12
Find f'(x) for f(x)=x^2⋅e^x
x^2e^x+2xe^x
2xe^x
x^2e^x+2xe^1
2xe^x+x^2
13
Find the derivative.
f'(t) = -3cos(t) + (1/4)sin(t)
f'(t) = -3sin(t) - (1/4)cos(t)
f'(t) = 3sin(t) + (1/4)cos(t)
f'(t) = 3cos(t) - (1/4)sin(t)
14
Find the derivative.
f'(x) = -3x
f'(x) = 3x2 - 6
f'(x) = 0
f'(x) = 3x2 - 6x
