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

The derivative of x^3-2x^2+x+2 is 3x^2-4x+1

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

The first derivative of x^3-2x^2+x+2 is 3x^2-4x+1

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

3 x^{2} - 4 x + 1

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (2 x^{2}) = 4 x

\frac{d x}{d x} = 1

\frac{d}{d x} (2) = 0

= 3 x^{2} - 4 x + 1 + 0

Simplify

= 3 x^{2} - 4 x + 1

\int x e^{4 x} d x

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\int 2 ln (3 x) d x

\int \frac{sin ( 4 e ^{- 7 x} )}{e ^{7 x}} d x

What is the derivative of x^3-2x^2+x+2 ?
The derivative of x^3-2x^2+x+2 is 3x^2-4x+1
What is the first derivative of x^3-2x^2+x+2 ?
The first derivative of x^3-2x^2+x+2 is 3x^2-4x+1