Question

If f(x)=54x43, what is f′(2)? type an exact answer.

Answer 1

`2322x^(42)`

Explanation:

Power rule of first derivative:

If f(x) = xⁿ then, f'(x) = n xⁿ⁻¹

`f(x) = 54x^(43)\\\\f'(x)= 43 * 54x^(43-1)\\\\f'(x) = 43 *54 *x^(42)\\\\\\f'(x) = 2322x^(42)`