Chain
Product
Quotient
Trig Functions
100
Derivative of sin(2x)
2cos(2x)
100
The definition of the product rule.
What is 
100
Definition of the Quotient Rule
What is 
100
Derivative of sin(x)
What is cos(x)
200
Derivative of e^15x
15e^(15x)
200
derivative of (3-x^2)(x+4)
-3x^2-8x+3
200
Derivative of (3x-4)/(2x^2-1)
-6x^2
200
Derivative of tan(x)
sec^2(x)
300
Derivative of (5x^3+7x^2)^4
4(5x^3 + 7x^2)(15x^2 + 14x)
300
Derivative of (4x^3-5x)(sqrt(x)+x^2)
(12x^2-5)(sqrt(x)+x^2) + (1/2x^-1/2 + 2x)(4x^3-5x)
300
Derivative of x^2+5x-1/(x^2+2)
-10x^2+6x+10/(x^2+2)^2
300
Derivative of xsec(x)
secx + xsec(x)tan(x)
400
Derivative of ((x^2+3)^3)*(2x-1)^5
6x(x^2+3)^2(2x-1)^5 + 10(x^2+3)^3(2x-1)^4
400
Derivative of sin(x)*cos(x)
cos^2(x)-sin^2(x)
400
x^2(x+5)/(x^2+x)
x^2+2x+5/(x+1)^2
400
Derivative of (cosx + x)/(sinx + 1)
-xcosx/(1+sinx)^2
500
Derivative of ((9x^5 + 4x)^3) * (e^2xsinx)
3(9x^5 + 4x)^2(45x^4 + 4)e^2xsinx + e^2xsinx * (2sinx + 2xcosx)*(9x^5 + 4x)^3
500
Derivative of (e^sinx)(4x+3)^1/2 + (tanx)(8x+3)^1/2
(cosxe^sinx)(4x+3)^1/2 + (e^sinx)(2(4x+3)^-.5) + (sec^2x)(4(8x+3)^-.5)
500
(x^2tanx+2xsecx)/(5x^2+1)^2
(x^2+1)(x^2sec^2x+2secxtanx)-(20x(5x^2+1)(x^2sinx+2xcosx)/(5x^2+1)^4
500
Derivative of sin^2(5x)cos^2(3x)
10sin(5x)cos(5x)cos^2(3x) - 6cos(3x)sin(3x)sin^2(5x)