Find the derivative of `(6x^(1//3)+2e^(x))` with respect to 'x'.

Options

A. `2.x^(-2//3)+2.e^(x)`
B. `x^(-2//3)+2.e^(x)`
C. `2.x^(2//3)+2.e^(x)`
D. `2.x^(-2//3)+e^(x)`

Answer

A

Explanation

`(d)/(dx)[6.x^(1//3)+(d)/(dx)(2.e^(x))]`
`=6.(d)/(dx)(x^(1//3))+2.(d)/(dx)(e^(x))`
`=6.(1)/(3).x^(-2//3)+2.e^(x)`
`=2.x^(-2//3)+2.e^(x)`.