Limits
Derivatives
Derivatives with Trig
Random
100

Find the limit of x approaching 1 where f(x) is x-1/x^2-1

1/2

100

find the derivative of f(x)=(x^2+1)2x

f'(x)6x^2+2

100

If y=(x^2)cosx, find dy/dx

dy/dx=2xcosx-(x^2)sinx

100

Find the derivative of f(x)=5x^3+3x^2+15

f’(x)=15x^2+6x

200

Find the limit of x approaching 0 where f(x) is sinx/x

0

200

find the derivative of f(x)=(2x+4)/x

f'(x)=4/x^2

200

take the derivative of f(x)=sinx

f'(x)=-cosx

200

Solve ln(12)

=-ln2

300

Find the limit where x approaches 0 where f(x) is 1-cosx/x+x^2

0

300

If f(x)= 7x^4+4x^3-2x^2+x-3, then find f’(2)

f'(2)=265

300

take the derivative of f(x)=cosxsinx

f'(x)=(sinx)^2-(cosx)^2

300

Identify the “inside” of (3t^2+2t)(t^3+t^2)dt

Let u=t^3+t2

du=3t^2+2tdt

400

find the limit where x approaches 1 when f(x) is lnx-x+1/x^2-2x+1

-1/2

400
  1. If f(x)=5x^4-3x+e^2x,then f’(1)=

f’(1)=17+2e^2

400

find the derivative of f(x)=tanx 

f'(x)=secx^2

400

Find a general solution of x+2yy’=0

y=土=√(-1/2x^2+c)

500

find the limit where x approaches 0 when f(x) is √(1+x)-1-x/2)/x^2

-1/8

500
  1. F(x)= (x-1)(x^2+2)^2, then f’(x)=

f'(x)=(x^2+2)^3+(x-1)(6x(x^2+2)^2(x^2)

500

F(x)=cos(3x) then f’(π/3)

=-√3/2

500

find the limit of x aprroaching 0 when f(x) is (1/x+4-1/4)/x

=-1/16