What is the derivative of 1/4 e^{2x} ?

The derivative of 1/4 e^{2x} is 1/2 e^{2x}

What is the first derivative of 1/4 e^{2x} ?

The first derivative of 1/4 e^{2x} is 1/2 e^{2x}

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\frac{d}{d x} (\frac{1}{4} e^{2 x})

\frac{1}{2} e^{2 x}

Solution steps

\frac{d}{d x} (\frac{1}{4} e^{2 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{4} \frac{d}{d x} (e^{2 x})

Apply the chain rule:

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

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

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

= \frac{1}{4} e^{2 x} \cdot 2

Simplify

\frac{1}{4} e^{2 x} \cdot 2 : \frac{1}{2} e^{2 x}

= \frac{1}{2} e^{2 x}

\int (sin (3 x) + 3 cos (3 x))^{2} d x

\frac{\partial}{\partial x} (2 x y^{7} + x^{7} y^{9})

\int 6 tan (6 x) d x

\int + \frac{2}{sec ( 2 x ) - 1} d x

(1 + e^{x}) y^{^{'}} + e^{x} y = 0

What is the derivative of 1/4 e^{2x} ?
The derivative of 1/4 e^{2x} is 1/2 e^{2x}
What is the first derivative of 1/4 e^{2x} ?
The first derivative of 1/4 e^{2x} is 1/2 e^{2x}