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$\frac{d}{d x} (x^{4} - x^{3} - e^{2 x} + 5^{2 x}) =$

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$4 x^{3} - 3 x^{2} - 2 e^{2 x}$

$4 x^{3} - 3 x^{2} + \log 5$

$\log 5$

$4 x^{3} - 3 x^{2} - 2 e^{2 x} + 2 (5^{2 x} \log 5)$

answer is D.

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Detailed Solution

$\frac{d}{d x} (x^{4} - x^{3} - e^{2 x} + 5^{2 x})$

$= 4 x^{3} - 3 x^{2} - 2 e^{2 x} + 2 (5^{x} \log 5)$

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