Question

Apply the chain rule, in Leibniz notation, to determine dy/dx at the indicated value of x.
a) y=u^2 +3u, u=Square root of x-1, x=5.

Answer 1

you can determine dy/du ; and du/dx so multiply them together to get dy/dx

Answer 2

dy/dx = dy/du * du/dx = 2u+3 * 1/2(1/sqrt(x-1)) = 71/4 or -1/4

Answer 3

Dhatraditya when you do that, you get 7 as your answer...

Answer 4

you should get 7/4 or 1/4 as the answer

Answer 5

you would get this \[(2(\sqrt{5-1)}+3(1/2(5-1)^{1/2}\]

Answer 6

sorry it is \[\frac{2\sqrt{x-1}+3}{2\sqrt{x-1}}\]

Answer 7

sqrt 4 gives two values, +2 and -2
with +2 you get 7/4
with -2 you get -1/-4 = 1/4

Answer 8

Ahhh... okay, Thanks. such a fail on my part :P

Answer 9

you are welcome