Question

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

Answer 1

So would it be -x+12?

Answer 2

no at x=2
y=10
put at x1=2 and y1=10
and solve

Answer 3

x+y=10 is ans.

Answer 4

It has to be in slope intercept form.

Answer 5

y=-x+12 is slope intercept form.

Answer 6

diff. wit respect to x dy/dx=-2x+3
at x=2
dy/dx=-1
tagent
(y-y1)=(-1)(x-x1)

Answer 7

Okay thank you!

Answer 8

your welcome.