Chain Rule
Quotient Rule
Product Rule
Trigonometric
100
What is the derivative of y=(x^4+5)^3
y'=(12x^3)((x^4)+5)^2
100
What is the derivative of y=(x)/(x-2)
y'=(-2)/((x-2)^2)
100
What is the derivative of y=(x^3)((2x^2)+1)
y'=(10x^4)+(3x^2)
100
What is the derivative of y=sin(x)
y'=cos(x)
200
What is the derivative of y=(7x-3)^1/2
y'=(7)/(2(7x-3)^1/2)
200
What is the derivative of y=(x^2)/(3x-1)
y'=(x(3x-2))/((3x-2)^2)
200
What is the derivative of y=(2x+1)((x^2)-2)
y'=(6x^2)+2x-4
200
What is the derivative of y=sin(x)cos(x)
y'=cos^2(x)-sin^2(x)
300
What is the derivative of y=((x^2)+9x)^-2
y'=-2(2x+9)((x^2)+9x)^-3
300
What is the derivative of y=((x^2)+3)/(2x)
y'=((2x^2)+6)/(4x)
300
What is the derivative of y=((x^3)+5)((x^3)+x+1)
y'=(6x^5)+(4x^3)+(18x^2)+5
300
What is the derivative of y=sin(x)tan(x)
y'=cos(x)tan(x)+sec(x)
400
What is the derivative of y=((x^4)-(x^3)-1)^2/3
y'=2/3((4x^3)-(3x^2))((x^4)-(x^3)-1)^-1/3
400
What is the derivative of y=(15x^3)/(1-(x^4))
y'=((15x^6)+(45x^2))/((1-(x^4))^2)
400
What is the derivative of y=((x^1/2)+1)((x^1/2)-1)
y'=1
400
What is the derivative of y=(1+tan(x))/(1-tan(x))
y'=(2sec^2(x))/((1-tan(x))^2)
500
What is the derivative of y=((x+1)/(x-1))^4
y'=(-8(x+1)^3)/((x-1)^5)
500
What is the derivative of y=((7x^3)-2x)/(e^x)
y'=((e^x)((21x^2)-2-(7x^3)+2x))/(e^2x)
500
What is the derivative of y=(x+3)(x-1)(x-5)
y'=(3x^2)-6x-13
500
What is the derivative of y=(3cos(x)-4)/(sin(x))
y'=(4cos(x)-3)/(sin^2(x))
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