Question

A curve has equation y=2x^(3/2) +1. Calculate the gradient of the curve at: x=4

Answer 1

have you learn differentiating?

Answer 2

All you need to find is y'(4)

Answer 3

Yeah I have, but I'm pretty certain we have to use the f(x+h) - f(x) / h formula. Just don't know how to work it with the powers.

Answer 4

Really? That's all you do?

Answer 5

yep

Answer 6

Wow I was making this much more difficult than it was. Thanks a lot :)

Answer 7

\[
y'(x)=2 x^{3/2}+1
\]

Answer 8

Compute now y'(4) and you are done.

Answer 9

\(y'(x)=3x^{\frac{1}{2}}\)

Answer 10

\[f'(x)=3x ^{1/2}\], Isnt that the derivative?

Answer 11

Oh there we go then, so the gradient = 6?

Answer 12

yeah, i got the same thing