What is the derivative of 6x-x^2 ?

The derivative of 6x-x^2 is 6-2x

What is the first derivative of 6x-x^2 ?

The first derivative of 6x-x^2 is 6-2x

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derivative of

6 x - x^{2}

6 - 2 x

Solution steps

\frac{d}{d x} (6 x - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x) - \frac{d}{d x} (x^{2})

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

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

= 6 - 2 x

\int \frac{1}{x ^{2} + 81} d x

y = \frac{10}{ln ( x )}

x \to 0 lim (\frac{ln ( cos ( x ) )}{ln ( cos ( 2 x ) )})

\int (x - 3)^{3} d x

(x^{2} + 1) \frac{d y}{d x} + 5 x (y - 1) = 0, y (0) = 4