Question

The line y=−7x+0 is tangent to the graph of
y=7/(x+2)
at the point___?

Answer 1

@zepdrix

Answer 2

@ganeshie8

Answer 3

I'm looking in my book :P

Answer 4

:D

Answer 5

They take points away if you get help?

Answer 6

no why?

Answer 7

if i get it wrong after 10 attempts i dont get points

Answer 8

whats the slope of the given tangent line ?

Answer 9

-7

Answer 10

What do you know about the relation between `slope of tangent line` and the `derivative of the funtion` ?

Answer 11

the tangent line has the derivative in it

Answer 12

Here is the relation :

`slope of the tangent line` at a particular point = `derivative of the function` at that point

Answer 13

oh

Answer 14

In other words, derivative IS the slope of tangent line

Answer 15

y = 7/(x+2)

y' = ?

Answer 16

y'=7(-1/(x+2)^2)

Answer 17

Yes, set that equal to the slope of given tangent line and solve `x`

Answer 18

do i set it equal to -7x?

Answer 19

slope of the given tangent line is -7

Answer 20

oh okay

Answer 21

I got x=-1,-3

Answer 22

Yes, plug them in the function and find the corresponding y values

Answer 23

(-1,7),(-3,21)?

Answer 24

or do i plug them into the other one?

Answer 25

Pick the point that satisfies both

Answer 26

does (-1, 7) lie on y=7/(x+2) too ?

Answer 27

thank you I choose (-1,7) because it satisfied both

Answer 28

Yep!