What is the derivative of (x^2+x^3) ?

The derivative of (x^2+x^3) is 3(x^2+x)^2(2x+1)

What is the first derivative of (x^2+x^3) ?

The first derivative of (x^2+x^3) is 3(x^2+x)^2(2x+1)

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

3 (x^{2} + x)^{2} (2 x + 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{2} + x) = 2 x + 1

= 3 (x^{2} + x)^{2} (2 x + 1)

\frac{d}{d x} (\frac{1 + x ^{2}}{1 - x ^{2}})

\int_{1}^{2} \frac{11}{x ^{3} + 3 x} d x

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\int \frac{x}{25 + x ^{2}} d x

What is the derivative of (x^2+x^3) ?
The derivative of (x^2+x^3) is 3(x^2+x)^2(2x+1)
What is the first derivative of (x^2+x^3) ?
The first derivative of (x^2+x^3) is 3(x^2+x)^2(2x+1)