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Popular >

derivative of (xe^{2x}+x^3^6)

Solution

\frac{d}{d x} ((x e^{2 x} + x^{3})^{6})

Solution

6 (x e^{2 x} + x^{3})^{5} (e^{2 x} + 2 e^{2 x} x + 3 x^{2})

Solution steps

\frac{d}{d x} ((x e^{2 x} + x^{3})^{6})

Apply the chain rule:

6 (x e^{2 x} + x^{3})^{5} \frac{d}{d x} (x e^{2 x} + x^{3})

= 6 (x e^{2 x} + x^{3})^{5} \frac{d}{d x} (x e^{2 x} + x^{3})

\frac{d}{d x} (x e^{2 x} + x^{3}) = e^{2 x} + 2 e^{2 x} x + 3 x^{2}

= 6 (x e^{2 x} + x^{3})^{5} (e^{2 x} + 2 e^{2 x} x + 3 x^{2})

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\int \frac{1}{2 x - x ^{2}} d x

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\int_{- 1}^{0} (x^{3} - x^{2} - 2 x) d x

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integral of 1/(7x^2-8)

\int \frac{1}{7 x ^{2} - 8} d x

Frequently Asked Questions (FAQ)

What is the derivative of (xe^{2x}+x^3^6) ?
The derivative of (xe^{2x}+x^3^6) is 6(xe^{2x}+x^3)^5(e^{2x}+2e^{2x}x+3x^2)
What is the first derivative of (xe^{2x}+x^3^6) ?
The first derivative of (xe^{2x}+x^3^6) is 6(xe^{2x}+x^3)^5(e^{2x}+2e^{2x}x+3x^2)