What is the derivative of 7x-x^2 ?

The derivative of 7x-x^2 is 7-2x

What is the first derivative of 7x-x^2 ?

The first derivative of 7x-x^2 is 7-2x

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derivative of

7 x - x^{2}

7 - 2 x

Solution steps

\frac{d}{d x} (7 x - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (7 x) = 7

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

= 7 - 2 x

f (x) = \frac{3}{4} x + 7

\int - 3 cot (t) d t

\int (\frac{x + 5}{x ^{2} + x - 6}) d x

\int \frac{4 x}{x ^{2} - 1} d x

f (x) = arctan (\frac{x}{2})