homework5: problem 40 (1 point) find $g(x)$ for $g(x)=x^{4}-2x^{2}-4$ $g(x)=$ you have attempted this…

homework5: problem 40 (1 point) find $g(x)$ for $g(x)=x^{4}-2x^{2}-4$ $g(x)=$ you have attempted this problem 0 times. you have unlimited attempts remaining. email instructor page generated october 12, 2025, 11:36:14 pm cdt webwork © 1996 - 2024 | theme: math4 - ttu | ww_version: 2.19 | pg_version 2.19 the webwork project

homework5: problem 40 (1 point) find $g(x)$ for $g(x)=x^{4}-2x^{2}-4$ $g(x)=$ you have attempted this problem 0 times. you have unlimited attempts remaining. email instructor page generated october 12, 2025, 11:36:14 pm cdt webwork © 1996 - 2024 | theme: math4 - ttu | ww_version: 2.19 | pg_version 2.19 the webwork project

Answer

Explanation:

Step1: Find first - derivative

Use the power rule $\frac{d}{dx}(x^n)=nx^{n - 1}$. For $g(x)=x^{4}-2x^{2}-4$, we have $g'(x)=4x^{3}-4x$.

Step2: Find second - derivative

Differentiate $g'(x)$ again using the power rule. So $g''(x)=\frac{d}{dx}(4x^{3}-4x)=12x^{2}-4$.

Answer:

$12x^{2}-4$