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Derivatives Review
Find f'(x) if f(x)=(3x2)/5
Find y'. y=cos(2x)
Derivatives Review
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Calculus Review of Derivatives
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Questions
10
Answers
1
Find y'. y=cos(2x)
y'=2sinx
y'=2sin(2x)
y'=-2sin(2x)
y'=-2sinx
2
Find f'(x) if f(x)=(3x
2
)/5
3x/5
[5(6x)-3x2*5]/25
3x/10
6x/5
3
Find y'. y=e
3x-12
y'=3/(3x-12)
y'=(3x-12)*e3x-12
y'=3e3x-12
y'=1/(x-4)
4
Find dy/dx: y
3
-4y
2
=x
5
+3x
4
(5x4+12x3)/(3y2-8y)
(5x4+12x3)/(-5y)
(5x4+12x3)/(5y)
(5x4+12x3)/(3y2+8y)
5
Find f'(x). f(x)=ln(x
2
)
2/x2
2x*ln(x2)
2/x
2x/x
6
Find the derivative of y=ln(x+1)
x/(x+1)
1/(x+1)
ln(x+1)
ln(1)
7
Find the derivative: y=sin(x+2)+9
y'=-cos(x+2)
y'=cos(x+2)
y'=sin(x+2)*cos(x+2)
y'=cos(x)
8
Find y'. y=8
y'=0
y'=8
y'=8x
y'=x
9
Find the derivative: y=(3x
2
-4x)
4
y'=24x(3x2-4x)3
y'=(24x2-16x)(3x2-4x)3
y'=24x(3x2-4x)
y'=(24x-16)(3x2-4x)3
10
Find y'. y=sinx*cosx
y'=2sinx-2cosx
y'=sin2x-cos2x
y'=-sin2x+cos2x
y'=-2sinx+2cosx