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}{3} (x^{2} + 2)^{\frac{3}{2}} - 5)

\frac{d}{d x} (\frac{1}{sec ^{2} ( x )})

f (x) = \frac{2}{x + 1}, at x = 7

x \to 0 + lim (\frac{12}{x ^{2}})

\int_{0}^{2} \frac{x ^{2}}{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)