What is the derivative of the function f(x) = x^{3/2} + \pi x^2 + \sqrt{7}f(x)=x 3/2 +πx 2 + 7 ​ evaluated at the point x = 2x=2?

Question

Can someone please explain the answer of this question to me

Answer 1

f(x) = x^3/2 + πx² + √7

f'(x) = (3/2)x^1/2 +2πx

f'(x) = (3/2)(√2) + 4π

If you need a numeric answer, I will leave that computation to you.