Simple Derivatives and Antiderivatives

Misc 1

100

Find an antiderivative

2e^(2x)

e^(2x)

200

Find an antiderivative

x^3

x^4/4

300

Find an antiderivative

3 cos(3x)

sin(3x)

400

Find the derivative

cos(x)

-sin(x)

500

Find an antiderivative

sec^2 x

tan x

Misc 2

100

Find the derivative

x^(-2)

-2x^(-3)

200

Find the derivative

1/2 sin(2x)

cos(2x)

300

Find the derivative  

x^(-2)/-2

x^(-3)

400

Find the derivative

1/x

-1/x^2

500

Find an antiderivative

2x

x^2

Misc 3

100

Find the derivative

1/4 cos(4x)

-sin(4x)

200

Find the derivative

-sin(x)

-cos(x)

300

Find the derivative

x^5/5

x^4

400

Find the derivative

sin(x)

cos(x)

500

Find the derivative

1/3 tan(3x)

sec^2(3x)

Misc 4

100

Find the derivative

x^2/2

x

200

Find the derivative

ln(x)

1/x

300

Find an antiderivative

sin x

-cos x

400

Find an antiderivative

x^4

x^5/5

500

Find the derivative

(x+3)^4

4(x+3)^3

Misc 5

100

Find an antiderivative

3x^2

x^3

200

Find the derivative

2x

2

300

Find an antiderivative

x^(1/2)

2/3 x^(3/2)

400

Find the derivative

tan(4x)

4sec^2(4x)

500

Find the derivative

e^x

e^x