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

The derivative of x^3+e^{2x} is 3x^2+e^{2x}*2

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

The first derivative of x^3+e^{2x} is 3x^2+e^{2x}*2

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

3 x^{2} + e^{2 x} \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 3 x^{2} + e^{2 x} \cdot 2

x \to 2 lim (x^{2} + 3 x - 1)

\frac{\partial}{\partial x} (\frac{4 x - 6 y}{y ^{2} + 2 x ^{2}})

\frac{d}{d x} (sin (ln (cos (x))))

\frac{d}{d x} (\frac{5 x ^{2} - 9 x + 13}{2 x + 4})

x \to 6 lim (\frac{6 + x}{x})

What is the derivative of x^3+e^{2x} ?
The derivative of x^3+e^{2x} is 3x^2+e^{2x}*2
What is the first derivative of x^3+e^{2x} ?
The first derivative of x^3+e^{2x} is 3x^2+e^{2x}*2