Question

How do you use the power rule to differentiate `f(x)=3x^5+2/sqrtx`?

Answer 1

`f'(x)=15x^4-1/x^(3/2)`

Explanation:

We can rewrite the equation so we can apply the power rule.

`f(x)=3x^5+2x^(-1/2)`

Then when we differentiate using the power rule:

`f'(x) = d/dx(3x^5)+d/dx(2x^(-1/2))`

`f'(x) = (3)(5)(x^(5-1))+(2)(-1/2)(x^(-1/2-1))`