How do you get the slope of the tangent line??

Question

anonymous · Answer

attachment

anonymous · Answer

is your problem not knowing how to find f' ?

anonymous · Answer

The slope of the tangent line to $f$ at $a$ is defined as $f'(a)$.

anonymous · Answer

Well i'm trying to find the slope... i already found the y intercept which is 4

anonymous · Answer

how did you find the y-intercept  without knowing the equation of the tangent line in the first place?

anonymous · Answer

(0,4)...  y- intercept is 4

anonymous · Answer

plus i plugged o into the whole equation... and got four

anonymous · Answer

haha... my bad!!!  i need to read the question more carefully.

anonymous · Answer

lol

anonymous · Answer

but still, you'll need the derivative of f.  this will give you the slope of the tangent line.

anonymous · Answer

are you trying to do this without taking the derivative?

anonymous · Answer

i was trying to do lol... ok so after i get the derivative of that? wat would i do?

anonymous · Answer

plug in x=0 into the derivative.  this will give you the slope of the tangent line at the point (0, 4)

anonymous · Answer

ok i got 2!! :)

anonymous · Answer

that's it... at least that's what i got also.  but of course the highest math i know is prealgebra...

anonymous · Answer

Dont worry u'll love calculus! lol

anonymous · Answer

thx:)

anonymous · Answer

ur welcome