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

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

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

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

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

3 x^{2} + 6 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (2) = 0

= 3 x^{2} + 6 x - 0

Simplify

= 3 x^{2} + 6 x

y^{^{'}} = (1 + x) (1 + y)

x \to 0 lim (\frac{( 5 e ^{x} - 5 )}{x})

\frac{\partial}{\partial y} (x^{2} - 3 y^{2} + 7)

\int \frac{( x + 1 )}{( x - 1 )} d x

x \to 1 + lim (2)

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