Question

Find the equation of the tangent line to the curve at the given point.
y = 9x − 8sqrtx (1, 1)

Answer 1

Find the 1st Derivative.

y' = ???

Answer 2

If I did it right, I got
9-4x ^{-1/2}

Answer 3

Well, don't forget to write the entire equation or definition. It will keep you from becoming confused.

y' = 9 - 4/sqrt{x}

That is correct. Now, just evaluate it at x = 1 and you have your slope.

Answer 4

m=5?

Answer 5

That's it. It's Point-Slope Time! Let's see the equation of the line.

Answer 6

y-1=5(x-1)
so,
y=5x-4

Answer 7

Done. You're a pro.

Answer 8

Thanks again! I think I was just over analyzing. I have literally worked out all 8 of my homework's and have made a list of questions just to put on here!