CH 4 Test 3 exmaples

use the mean value theorem

find where f is bounded

find the graph for

use l hospitals rule to solve

use L hospitals rule

use L hospitals rule

use L hospitals rule

use L hospitals rule

use L hospitals rule

identify the “type” and then use L hospitals rule

identify the type then use L hospital rule

identify the type then use L hospitals rule

identify the type and use L hospitals rule

optimization

what is the antiderivative of f(x)=sin(x)

what does F(x)=

-cos(x) +c

what is the antiderivative of f(x) =e^x

what is F(x)=

e^x +c

what is the antiderivative of f(x) = 1/x

F(x) =

lnx +c

what is the antiderivative of f(x) x^n when x is not equal to -1

F(x)=

1/n+1 x^n+1 +c

what is the antiderivative of f(x) =ln |x|

F(x)=

1/x

what is the antiderivative of cf(x)

CF(x) +c

what is the antiderivative of f(x) + g(x)

F(x) + G(x)

what is the antiderivative of sec² x

tanx+c

what is the antiderivative of sec x + tanx

sec x +c

what is the antiderivative of 1/ sqrt(1-x²)

sin^-1 (x) +c

what is the antiderivative of 1/1+x²

tan^-1(x) +c

what is the antiderivative of

what is the antiderivative of