What is the derivative of 9x-x^2 ?

The derivative of 9x-x^2 is 9-2x

What is the first derivative of 9x-x^2 ?

The first derivative of 9x-x^2 is 9-2x

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\frac{d}{d x} (9 x - x^{2})

9 - 2 x

Solution steps

\frac{d}{d x} (9 x - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (9 x) = 9

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

= 9 - 2 x

\frac{d}{d x} (e^{5 - 3 x})

\frac{\partial}{\partial x} (x (1 - x^{2} - y^{2}))

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

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

f (x) = x^{2} - x + 7, at x = 2