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

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

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

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

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

- 3 x^{2} + 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (1) = 0

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

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

= 0 + 2 - 3 x^{2}

Simplify

= - 3 x^{2} + 2

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

\int_{1}^{\infty} x e^{- 3 x} d x

\frac{d}{d x} (2 x e^{2 x} + e^{2 x} \cdot 2 x^{2})

\frac{d y}{d x} = x (6 - y)

\frac{d}{d x} (\frac{2 x}{1 + 5 x ^{2}})

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