What is the derivative of f(x)=3x^2+e^{2x}+pi^2 ?

The derivative of f(x)=3x^2+e^{2x}+pi^2 is 6x+2e^{2x}

What is the first derivative of f(x)=3x^2+e^{2x}+pi^2 ?

The first derivative of f(x)=3x^2+e^{2x}+pi^2 is 6x+2e^{2x}

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derivative of

f (x) = 3 x^{2} + e^{2 x} + π^{2}

6 x + 2 e^{2 x}

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 x} \cdot 2

\frac{d}{d x} (π^{2}) = 0

= 6 x + e^{2 x} \cdot 2 + 0

Simplify

= 6 x + 2 e^{2 x}

What is the derivative of f(x)=3x^2+e^{2x}+pi^2 ?
The derivative of f(x)=3x^2+e^{2x}+pi^2 is 6x+2e^{2x}
What is the first derivative of f(x)=3x^2+e^{2x}+pi^2 ?
The first derivative of f(x)=3x^2+e^{2x}+pi^2 is 6x+2e^{2x}