Question

Suppose that f(x) = (4x+12)/x. Evaluate the following: f'(-2) = ? f'(5)= ?

Answer 1

i'm sorry it's ok. i already got the answers.

Answer 2

i got -3 and -.48 respectively

Answer 3

solve for the derivative first
use the quotient rule or you can apply sum of divisions
\(f(x) = \huge \frac{4x + 12}{x} = \frac{4x}{x} + \frac{12}{x}\)

Answer 4

oh okay
then close this post

Answer 5

yes, and for
f`(2) plug in 2 for x into the derivative
and
f`(5) plug in 5 for x into the derivative

Answer 6

this would be the slope of the function at x=2, and the slope of the function at x=5.

Answer 7

yes, separation of those fraction is what comes to mind. NOT using the qutient rule of a derivative.

Answer 8

oh i used the quotient rule

Answer 9

and if you every forget the quotient rule, you can always use logarithmic differnetition to come up to it, which I find very cool.

Answer 10

ya or just use the power rule and product rule

Answer 11

yes, that too:)

Answer 12

and product can be proven using log. differnetion too

Answer 13

\(\large \frac{1}{x} = x^{-1}\) if you paid your due in algebra, everything in calculus 1 is easy as a pie

Answer 14

yes, or even hardest is as a pi.

Answer 15

but harder....
if you learn wl\ell, anything is easy.

Answer 16

wlell xd