Question

question find the derivative of f(x)=4x^3 - 6x^2+5. provide your answer below: f(x)=□

Explanation:

Step1: Apply power - rule for differentiation

The power - rule states that if $y = ax^n$, then $y'=nax^{n - 1}$, and the derivative of a constant is 0. For $f(x)=4x^{3}-6x^{2}+5$, the derivative of $4x^{3}$ is $3\times4x^{3 - 1}=12x^{2}$, the derivative of $-6x^{2}$ is $2\times(-6)x^{2 - 1}=-12x$, and the derivative of the constant 5 is 0.

Step2: Combine the derivatives

$f'(x)=12x^{2}-12x+0 = 12x^{2}-12x$

Answer:

$12x^{2}-12x$