`h(x) = sqrt(x)sin(x)` Use the Product Rule or the Quotient Rule to find the derivative of the function.
You need to evaluate the derivative of the given function and since the function is a product of two polynomials, then you must use the product rule, such that:
`f'(x) = (sqrt x)'(sin x) + (sqrt x)(sin x)'`
`f'(x) = (1/(2sqrt x))(sin x) + (sqrt x)(cos x)`
Hence, evaluating the derivative of the function, using the product rule, yields `f'(x) = (1/(2sqrt x))(sin x) + (sqrt x)(cos x).`