What is the derivative of 5x-x^2 ?

The derivative of 5x-x^2 is 5-2x

What is the first derivative of 5x-x^2 ?

The first derivative of 5x-x^2 is 5-2x

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derivative of

5 x - x^{2}

5 - 2 x

Solution steps

\frac{d}{d x} (5 x - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (5 x) = 5

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

= 5 - 2 x

\frac{d ^{2}}{d x ^{2}} (6 e^{x} cos (x))

y = x^{2}, y = 2, y = 5

\frac{d x}{d t} = - x

y = x β + e

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