Question

What is the derivative of `(6)/(x^3sqrtx)`?

Answer 1

The answer is: `y'=-21/(x^4sqrtx)`.

The function can be written:

`y=6*x^(-3-1/2)rArry=6x^(-7/2)`

`y'=6*(-7/2)*x^(-7/2-1)=-21x^(-9/2)=-21/sqrt(x^9)=`

`=-21/(x^4sqrtx)`.