Question

Find the derrivative please​

Answer 1

Explanation:

For this problem, we will need to use the product rule:

`h(x) = f(x)g(x)`

`h'(x) = f'(x)g(x) + f(x)g'(x)`

In this problem,
`f(x) = x^(3)` and
`g(x) = √(2x + 3)`

Finding the derivative of each gives us the following:

`f'(x) = 3x^(2)`

`g'(x) = (1)/(√(2x + 3))`

Plugging these values into the product rule gives us the final derivative:

`y'(x) = 3x^(2)√(2x + 3) + (x^(3))/(√(2x + 3))`