Find d/dx of sqrt x / (x+6)?

Question

Find d/dx of sqrt x / (x+6)?

Answer 1

Quotient rules

If the function can be written as

    f(x) = g(x)} / {h(x)

    f'(a)=[ g'(a)h(a) - g(a)h'(a) ]  /  h(a)^2

let your g(x) = sqrt (x)  and h(x) = x+6)

           and go from there

good luck

Answer 2

i think you mean dy/dx.lool

n e ways sqrt X / x+6

So u will repricol it and find that its X^0.5 x (x+6)^-1

it will be 0.5X^-1.5 x -1(x+6)^-2

and now you have to repricol is again becasue in dy/dx negative powers are unacceptable

so it will be

0.5/X^1.5 / (x+6)^2