What is the derivative of-9/2 x^2+3x+3 ?

The derivative of-9/2 x^2+3x+3 is -9x+3

What is the first derivative of-9/2 x^2+3x+3 ?

The first derivative of-9/2 x^2+3x+3 is -9x+3

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derivative of

- \frac{9}{2} x^{2} + 3 x + 3

- 9 x + 3

Solution steps

\frac{d}{d x} (- \frac{9}{2} x^{2} + 3 x + 3)

Simplify

- \frac{9}{2} x^{2} + 3 x + 3 : - \frac{9 x ^{2}}{2} + 3 x + 3

= \frac{d}{d x} (- \frac{9 x ^{2}}{2} + 3 x + 3)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{9 x ^{2}}{2}) + \frac{d}{d x} (3 x) + \frac{d}{d x} (3)

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

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (3) = 0

= - 9 x + 3 + 0

Simplify

= - 9 x + 3

What is the derivative of-9/2 x^2+3x+3 ?
The derivative of-9/2 x^2+3x+3 is -9x+3
What is the first derivative of-9/2 x^2+3x+3 ?
The first derivative of-9/2 x^2+3x+3 is -9x+3