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

The derivative of 2x-x^2 is 2-2x

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

The first derivative of 2x-x^2 is 2-2x

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

2 - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 - 2 x

\int e^{x} 25 + e^{x} d x

\frac{d y}{d x} = \frac{x ^{2} + y ^{2}}{2 x y}

\frac{d}{d x} (cot (x) - sin (2 x))

y = x, x^{2}, [0, 1]

y = - \frac{8 x}{x ^{2} + 1}, (1, - 4)