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Popular >

derivative of 25x^2e^{2x}-16

Solution

\frac{d}{d x} (25 x^{2} e^{2 x} - 16)

Solution

25 (2 e^{2 x} x^{2} + 2 e^{2 x} x)

Solution steps

\frac{d}{d x} (25 x^{2} e^{2 x} - 16)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (25 x^{2} e^{2 x}) - \frac{d}{d x} (16)

\frac{d}{d x} (25 x^{2} e^{2 x}) = 25 (2 x e^{2 x} + e^{2 x} \cdot 2 x^{2})

\frac{d}{d x} (16) = 0

= 25 (2 x e^{2 x} + e^{2 x} \cdot 2 x^{2}) - 0

Simplify

= 25 (2 e^{2 x} x^{2} + 2 e^{2 x} x)

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Frequently Asked Questions (FAQ)

What is the derivative of 25x^2e^{2x}-16 ?
The derivative of 25x^2e^{2x}-16 is 25(2e^{2x}x^2+2e^{2x}x)
What is the first derivative of 25x^2e^{2x}-16 ?
The first derivative of 25x^2e^{2x}-16 is 25(2e^{2x}x^2+2e^{2x}x)