Find $$ \frac{d^{2} y}{d x^{2}} $$ $$ y=\frac{4 x^{5}}{5}-5 x $$

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The second derivative is $$ 16x^3 $$. Find the second order derivative with respect to $$ x $$ for $$ \frac{4 x^{5}}{5}-5 x $$. Evaluate the derivative by following steps: - step0: Evaluate the derivative: $$\frac{d}{dx}\left(\frac{d}{dx}\left(\frac{4x^{5}}{5}-5x\right)\right)$$ - step1: Subtract the terms: $$\frac{d}{dx}\left(\frac{d}{dx}\left(\frac{4x^{5}-25x}{5}\right)\right)$$ - step2: Calculate: $$\frac{d}{dx}\left(4x^{4}-5\right)$$ - step3: Use differentiation rules: $$\frac{d}{dx}\left(4x^{4}\right)-\frac{d}{dx}\left(5\right)$$ - step4: Calculate: $$16x^{3}-0$$ - step5: Remove 0: $$16x^{3}$$ The second derivative of the function $$ y = \frac{4x^5}{5} - 5x $$ with respect to $$ x $$ is $$ 16x^3 $$.

Find \( \frac{d^{2} y}{d x^{2}} \) \[ y=\frac{4 x^{5}}{5}-5 x \]

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Find \( \frac{d^{2} y}{d x^{2}} \) \[ y=\frac{4 x^{5}}{5}-5 x \]

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