What is the derivative of 12+4x-x^2 ?

The derivative of 12+4x-x^2 is -2x+4

What is the first derivative of 12+4x-x^2 ?

The first derivative of 12+4x-x^2 is -2x+4

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\frac{d}{d x} (12 + 4 x - x^{2})

- 2 x + 4

Solution steps

\frac{d}{d x} (12 + 4 x - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (12) + \frac{d}{d x} (4 x) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (12) = 0

\frac{d}{d x} (4 x) = 4

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

= 0 + 4 - 2 x

Simplify

= - 2 x + 4

What is the derivative of 12+4x-x^2 ?
The derivative of 12+4x-x^2 is -2x+4
What is the first derivative of 12+4x-x^2 ?
The first derivative of 12+4x-x^2 is -2x+4