Find the second derivative. -y = 7x⁴ - 4x² + 6 A) 84x² - 8 B) 84x² - 8x C) 28x² - 8x D) 28x² - 8

Question

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The given function is $y = 7x^{14} - 4x^{12} + 6$. The first derivative is $y' = 98x^{13} - 48x^{11}$. The second derivative is $y'' = 1274x^{12} - 528x^{10}$. However, there seems to be a misunderstanding in the calculation. Correctly calculating the second derivative of the given function should yield $y'' = 98 \cdot 13x^{12} - 48 \cdot 11x^{10}$, which simplifies to $1274x^{12} - 528x^{10}$. None of the provided options correctly match this result, indicating a potential error in the interpretation of the original function or in the provided options. Given the options, the closest match to a correct approach for finding the second derivative of a polynomial would involve applying the power rule correctly, but none of the options accurately reflect the correct second derivative of the given function.

Find the Second Derivative