Chain Rule
Product Rule
Quotient Rule
Random
Extra
100
Derivative of 11(3x+7)^5
What is y'= 165(3x+7)^4
100
Derivative of 3xsinx
What is y'= 3(sinx+xcosx)
100
Derive (x)/(x^2+1)
What is y'= (1-x^2)/(x^2+1)^2
100
3/4x^2
What is y'= -6x/(4+x^2)^2
100
Integral from 1 to 2 of (4x^3-6x)dx
What is 6
200
Derivative of cos(x^2+5x)
What is y'= -sin(x^2+5x)(2x+5)
200
Derivative of sqrt(x)*(4-x^2)
What is y'= (4-5x^2)/(2sqrt(x))
200
Derive (5x-2)/(x^2+1)
What is y'= (-5x^2+4x+5)/(x^2+1)^2
200
Derive -7/(2x-3)^2
What is y'= 28/(2x-3)^3
200
Line tangent to y=cos(2x) @ x=pi/4
What is y= -2(x-pi/4)
300
Derivative of sin^2(4x)
What is y'= 8sin(4x)*cos(4x)
300
Derivative of x^3cosx
What is x^2(3cosx-xsinx)
300
Derive (sinx)/(x^2)
What is (xcosx-2sinx)/x^3
300
Derive (3x-2x^2)(5+4x)
What is y'= -24x^2+4x+15
300
(1/2) times the integral of e^(x/2)
What is e^(x/2)+C
400
Derivative of sin^2(3x+2)
What is y'= 6sin(3x+2)*cos(3x+2)
400
Derive 2xcosx-2sinx
What is y'= -2sinx
400
If y=x-2/x+1, then y'(1)=
What is 3/4
400
Derive (x^2-1)^(2/3)
What is y'= 4x/3(x^2-1)^3
400
For what values of x is the function f(x)=2x^3-3x^2-36x decreasing?
What is -2<x<3
500
Derivative of tan^3sqrt(x)
What is y'= (3tan^2sqrt(x)*sec^2sqrt(x))/2sqrt(x)
500
Derivative of (x^3-2)(3-x^2) when x=1
What is 8
500
Derive (cosx)/(x^3)
What is y'= -1((sinx)(x)+3cosx)/x^4
500
Derive sin(cos(tanx))
What is y'=cos(cos(tanx))*-sin(tanx)*(secx)^2
500
Derivative of (2x+1)^5*(x^3-x+1)^4
What is y'= 2(2x+1)^4*(x^3-x+1)^3*(17x^3+6x^2-9x+3)
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