What is the derivative of f(x)=x^3-2x^2+x+1 ?

The derivative of f(x)=x^3-2x^2+x+1 is 3x^2-4x+1

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

The first derivative of f(x)=x^3-2x^2+x+1 is 3x^2-4x+1

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derivative of

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

3 x^{2} - 4 x + 1

Solution steps

\frac{d}{d x} (x^{3} - 2 x^{2} + x + 1)

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} (1)

\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} (1) = 0

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

Simplify

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

\int_{- 2}^{- 1} \frac{1}{( x - 1 ) ^{3}} d x

7 x + 12, 0, 10

\frac{1}{s ^{3} ( s + 2 )}

\frac{\partial}{\partial x} (x^{2} y + y^{2} z + z^{2} x)

x^{- 2} y^{- 5} d x + x^{- 3} y^{- 4} d y = 0

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