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

The derivative of (x^2-2x)^3 is 3(x^2-2x)^2(2x-2)

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

The first derivative of (x^2-2x)^3 is 3(x^2-2x)^2(2x-2)

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derivative of

(x^{2} - 2 x)^{3}

3 (x^{2} - 2 x)^{2} (2 x - 2)

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (x^{2} - 2 x)^{2} (2 x - 2)

in (x^{2})

\int_{0}^{c} 10 e^{2 x} d x

\int (\frac{3}{x ^{3}}) d x

\frac{d}{d t} (e^{i t})

\frac{d x}{d t} = sin (2 π (t + 3))

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