Question

whats the final answer to:

y+7=−7(x+1)
Should be an equation for a tangent line*

Answer 1

You know the equation for a tangent line, meaning you know how to find derivatives, but you're struggling with basic algebra?

Answer 2

I got the results but for some reason its not matching up exactly with the possible answers.

Answer 3

You're getting \(y=-7x-14\)?

Answer 4

which is why i want someone to give me the answer so i can be sure i didn't make a mistake earlier in the problem.

Answer 5

yea.

Answer 6

What is f(x)?

Answer 7

f(x) = -4x + 3/x at x = -1

Answer 8

Yeah, I can tell already it's at the point (-1, -7) based on the form of your tangent line.

Answer 9

Okay, so I'm getting: \[
f'(x) = -4 + -\frac{3}{x^2}\implies f'(-1) = -4-3 = -7
\]So that part is correct.

Answer 10

yea

Answer 11

You are fine so far.

Answer 12

ok so what should i do next?

Answer 13

What is the question?

Answer 14

Write an equation for the tangent line to f(x) = -4x + 3/x at x=-1

Answer 15

Oh wait, we need to find out \(\large f(-1)=-4(-1)+\frac{3}{-1}\)

Answer 16

possible answers : A) -7x + y = -6
B) -6x + 2y = -5
C) 7x + y = -6
D) 6x + 2y = -5

Answer 17

oh

Answer 18

4-3 = 1.... there was your problem.

Answer 19

\[y-1=-7(x+1)\]

Answer 20

Thank you for the help!