Show:
Basic Derivatives
Product/Quotient Rule
Chain Rule
Combining Properties
Antiderivatives
100
Take the Derivative of (3x^2)
What is 6x
100
Take the derivative of (3x^2)/(4x^3)
What is (24x^4-36x^4)/(4x^6)
100
Take the derivative of (sin(x)^2)
What is 2*cos(x)*sin(x)
100
Take the derivative of f(x)=3((x+1)^4)*(2x+3)^2
What is 12⋅(2x+3)⋅(3x+1)^4+36⋅(2x+3)^2⋅(3x+1)^3
100
Find the anti derivative of S 3*sin(x)
What is −3⋅cos(x)+c
200
Take the derivative of cos(x)
What is -sin(x)
200
Take the derivative of 7x^8*(4x+9)
What is 56x^4*(4x+9)+28x^8
200
Take the derivative of ln(cos(2x))
What is either -2(sin(2x)/cos(2x) or -2tan(2x)
200
Take the derivative of (3(4x-7)^3)/(4(5x+2)^2)
What is (144*(4x-7)^2*(5x+2)^2-120*(5x+2)*(4x-7)^3)/(4(5x+2)^2)^2
200
Find the anti derivative of S (1/(2*x))
What is .5*ln(|x|)+c
300
Take the derivative of (1/x^2)
What is (-2/x^3)
300
Take the derivative of cos(x)*tan(x)
What is -sin(x)*tan(x)+sec(x)*tan(x)*cos(x)
300
Take the derivative of e^(12x^2+4x)
What is (24x+4)⋅e^(12x^2+4x)
300
Take the derivative of cos(x)/arctan(sin(x))
What is (-sin(x)*(arctan(sinx))-cos(x)*(1/(1+(sin(x))^2)*cos(x))/(arctan(sin(x))^2
300
Find the anti derivative of S 3x^7+4x^2+8
What is (3/8)x^8+(4/3)x^3+8x+c
400
Take the derivative of arctan(x)
What is 1/(1+x^2)
400
Take the derivative of arcsin(x)*10x^6
What is (1-x^2)^-1/2*10x^6+arcsin(x)*60x^5
400
Take the derivative of arcsin(ln(5x^3+7x^2))
What is (1/(sqrt(1+(ln(5x^3+7x^2))^2))*(1/(5x^3+7x^2))*(15x*2+14x)
400
Take the derivative of ((5x+1)^2)/(6x^2+9)
What is (10*(6x^2+9)*(5x+1)-12x(5x+1)^2)/(6x^2+9)^2
400
Find the anti derivative of S (3/(x^2+1))
What is 3*actan(x)+c
500
Take the derivative of sec(x)
What is sec(x)*tan(x)
500
Take the derivative of ln(x)/arctan(x)
What is (x^-1*arctan(x)-ln(x)*(1+x^2)^-1)/(arctan(x))^2
500
Take the derivative of e^arccos(2^(4x)
What is ((−ln(2)⋅2^(4x+2))⋅e^arccos(2^4x))/sqrt(1−2^8x)
500
Take the derivative of (sin(x)^2)/((3x+2)^3)
What is (2*cos(x)*sin(x)*(3x+2)^3-(sin(x))^2)*(3x+2)^2)/(3x+2)^6
500
Find the anti derivative of (5x^2)/(3x^3+4)
What is (5/9)*ln(|3x^3+4|)+c