Question

Differentiate

Answer 1

\[\frac{ 7x^2 +9x+7}{ \sqrt{x} }\]

Answer 2

I know I can use the quotient rule, but I would assume to go ahead and use algebra, distributing the sqrt x to the top as x^-1/2.

Answer 3

a better approach would be to take log

Answer 4

I have not got there yet in my class :)

Answer 5

\[y=\frac{ 7x^2+9x+7 }{ \sqrt{x} }\]\[\ln y=\ln(7x^2+9x+7)-\frac{ 1 }{ 2 }x\]\[\frac{ 1 }{ y }\frac{ dy }{ dx }=\frac{ 14x+9 }{ 7x^2+9x+7 }-\frac{ 1 }{ 2 }\]

Answer 6

distributing sqrt x is better

Answer 7

then each term, you express it in the form of x^n

Answer 8

i think we have arrived at the answer ....

Answer 9

Oh yes cody. But I agree with Hartnn. Can we work it that way?

Answer 10

sure...