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

The derivative of-3x^2+3 is -6x

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

The first derivative of-3x^2+3 is -6x

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

- 6 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

= - 6 x + 0

Simplify

= - 6 x

x \to 0 lim (\frac{csc ( 3 x )}{cot ( x )})

\frac{\partial}{\partial y} (y^{6} cos (5 x))

\int_{1}^{2} \frac{7 x - 2}{3 x ^{2} - 2 x} d x

f (x) = (4 x + 3) (- x + 1), at x = 4

\frac{d}{d x} (\frac{6}{4 x})