Question

what is derivative of 2x^3/2

Answer 1

Recall the power rule: $$\dfrac{d}{dx}x^n = nx^{n-1}$$

Answer 2

As well as the coefficient rule:$$\dfrac{d}{dx}C f(x) = C \dfrac{d}{dx} f(x) \text{ where }C \in \mathbb R$$

Answer 3

is it 4/3 x^1/2

Answer 4

I would check the coefficient on your derivative. Combining the two rules I gave above: $$\dfrac{d}{dx}Cx^n = Cnx^{n-1}$$

Answer 5

Your exponent was correct, though.