Question

Find the slope of the tangent line f(x)=x^2 when x=1

Answer 1

got your derivative?

Answer 2

calculus?

Answer 3

derivative at x=1 is the slope of the tangent at x=1

Answer 4

then using point-slope form

\[y-y1=m(x-x1)\]

you'll get the tangent line at that point

Answer 5

in order to find y, you just plug f(1)

Answer 6

make sense?

Answer 7

Thanks:)

Answer 8

did you get the answer?

Answer 9

\[y'=2x\]
\[f'(1)=2(1)=2=m\]

\[f(1)=(1)^2=1=y1\]

\[y-1=2(x-1)\]

\[y=2x-1\]

Answer 10

The slope is 2 :)

Answer 11

right...