Question

Find the equation of the line tangent to y = –x2 + 3x + 8 at x = 2.

y = –2x + 2
y = –x + 12
y = –x + 2
y = –2x – 12

Answer 1

@ganeshie8

Answer 2

First, evaluate the function at x = 2.
That will give you a point the tangent line passes through.
Then find the derivative of the function and evaluate it at x = 2.
That will give you the slope of the tangent line.
Using the point on the tangent line and the slope of the tangent line, you can find the equation of the tangent line.

Answer 3

thanks! so what do i get as an answer?

Answer 4

@mathstudent55

Answer 5

the function at x=2 is equal to 10.

Answer 6

Why don't you try and tell me what you got. Then we'll compare notes.

Answer 7

So far you're correct.