Question

LGBADERIVATIVE:

\[\huge f(x) = \frac{x}{x+\frac cx}\]

Answer 1

im thinking simplify first?

Answer 2

\[\frac{x^2}{x^2 + c}\]

Answer 3

?

Answer 4

oh

Answer 5

Now use the u/v rule of differentiation..

Answer 6

\[\huge \frac{2x(x^2 + c) - 2x^3}{(x^2 + c)^2}?\]

Answer 7

Yes you are going right..

Answer 8

Simplify something will cancel in the numerator..

Answer 9

are you sure :O

Answer 10

\[\huge \color{green}{\frac{2x^3 + 2xc - 2x^3}{(x^2 + c)^2}}\]

Answer 11

Having any doubt??

Answer 12

ohhhhh