Question

y=sqrtx/(x+7) find equation of the tangent line at (9,3/16) and the equation of the normal line at (9,3/16)

Answer 1

What can be said about the derivative of a curve at a point with its tangent line?

Answer 2

not sure

Answer 3

@zepdrix

Answer 4

So we can write the tangent line as,\[\Large y-y_o\quad=\quad m(x-x_o)\]

Where our given point is \(\Large (x_o,\;y_o)\quad=\quad (9,\; 3/16)\)

And where \(\Large m\) is given by derivative function evaluated at x=9.
\(\Large f'(9)=m\)

Answer 5

Have you tried taking the derivative of your function yet?

Answer 6

yes i got (7-x)/2sqrtx(x+7)^2

Answer 7

i was having trouble with the normal line equation. i dont get what that means