What is the derivative of 3x^2+e^2x+pi^2 ?

The derivative of 3x^2+e^2x+pi^2 is 6x+e^2

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

The first derivative of 3x^2+e^2x+pi^2 is 6x+e^2

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

6 x + e^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (π^{2}) = 0

= 6 x + e^{2} + 0

Simplify

= 6 x + e^{2}

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