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

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

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

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

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derivative of

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

e^{2 x}

Solution steps

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

Take the constant out:

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

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

Simplify

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

= e^{2 x}

\frac{\partial}{\partial x} (2 x yz + \frac{3}{4} x y + z)

\frac{d y}{d t} + 0.4 t y = 5 t, y (0) = 6

y = x^{3} - 11 x, (2, - 14)

\frac{\partial}{\partial x} (arctan (a) x^{3})

\int \frac{- t}{( t + 1 ) - t + 1} d t

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