What is the derivative of x^3+6x^2+12x-13 ?

The derivative of x^3+6x^2+12x-13 is 3x^2+12x+12

What is the first derivative of x^3+6x^2+12x-13 ?

The first derivative of x^3+6x^2+12x-13 is 3x^2+12x+12

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derivative of

x^{3} + 6 x^{2} + 12 x - 13

3 x^{2} + 12 x + 12

Solution steps

\frac{d}{d x} (x^{3} + 6 x^{2} + 12 x - 13)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (12 x) - \frac{d}{d x} (13)

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

\frac{d}{d x} (6 x^{2}) = 12 x

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

\frac{d}{d x} (13) = 0

= 3 x^{2} + 12 x + 12 - 0

Simplify

= 3 x^{2} + 12 x + 12

What is the derivative of x^3+6x^2+12x-13 ?
The derivative of x^3+6x^2+12x-13 is 3x^2+12x+12
What is the first derivative of x^3+6x^2+12x-13 ?
The first derivative of x^3+6x^2+12x-13 is 3x^2+12x+12