Derivatives/Antiderivatives

Derivative

100

f(x)=4x+7

f'(x)=4

200

f(x)=x(12x+8)

f'(x)=24x+8

300

f(x)=2x³-(2/3)x²+5x

f'(x)=6x²-(4/3)x+5

400

f(x)=3√x - 2x^1/3

f'(x)=(3/2)x^-1/2 - (2/3)x^-2/3

500

f(x)=8√x - sec(x)tan(x)

f'(x)=4x^-1/2 - [sec(x)tan(x)tan(x)+sec(x)sec²(x)]

Find f'(x)

100

f(x)=√2

f'(x)=0

200

f(x)=(x-5)²

f'(x)=2(x-5)

300

f(x)=x√x

f'(x)=(3/2)√x

400

f(x)=7x^2/5+8x^-4/5

f'(x)=(14/5)x^-3/5 - (32/5)x^-9/5

500

f(x)=2sin(x)-sec²(x)

f'(x)=2cos(x)-2sec(x)[sec(x)tan(x)]

Antiderivative

100

f(x)=4x+7

F(x)=2x²+7x+C

200

f(x)=x(12x+8)

F(x)=4x³+4x²+C

300

f(x)=2x³-(2/3)x²+5x

F(x)=(1/2)x⁴-(2/9)x³+(5/2)x²+C

400

f(x)=3√x - 2x^1/3

F(x)=2x^3/2-(3/2)x^4/3+C

500

f(x)=8√x - sec(x)tan(x)

F(x)=(16/3)x^3/2 - sec(x)+C

Find F(x)

100

f(x)=√2

F(x)=(√2)x+C

200

f(x)=(x-5)²

F(x)=(1/3)(x-5)³+C

300

f(x)=x√x

F(x)=(2/5)x^5/2+C

400

f(x)=7x^2/5+8x^-4/5

F(x)=5x^7/5+40x^1/5+C

500

f(x)=2sin(x)-sec²(x)

F(x)=-2cos(x)-tan(x)+C