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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int \frac{1 + e ^{- x}}{e ^{x}} d x

f (t) = t^{2} e^{, at}

y^{^{'}} + y x^{3} = 4 x^{3}

x \to 0 lim (x^{2} + 9 - 3)

n = 0 \sum \infty 4 (\frac{2}{5})^{n}

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