What is the derivative of x^3+3x^2+1 ?

The derivative of x^3+3x^2+1 is 3x^2+6x

What is the first derivative of x^3+3x^2+1 ?

The first derivative of x^3+3x^2+1 is 3x^2+6x

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\frac{d}{d x} (x^{3} + 3 x^{2} + 1)

3 x^{2} + 6 x

Solution steps

\frac{d}{d x} (x^{3} + 3 x^{2} + 1)

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} (1)

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

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

\frac{d}{d x} (1) = 0

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

Simplify

= 3 x^{2} + 6 x

x \to 0 lim (\frac{x - 4}{x + 2})

x \to 1 lim (\frac{( x + 2 )}{x - 1})

f (x) = 2 x^{2} + x + 1, at x = 2

\frac{\partial}{\partial x} (2 arctan (\frac{y}{x}))

y = 7 sec (x), at x = \frac{π}{3}

What is the derivative of x^3+3x^2+1 ?
The derivative of x^3+3x^2+1 is 3x^2+6x
What is the first derivative of x^3+3x^2+1 ?
The first derivative of x^3+3x^2+1 is 3x^2+6x