What is the derivative of 3e^{x/4} ?

The derivative of 3e^{x/4} is 3/4 e^{x/4}

What is the first derivative of 3e^{x/4} ?

The first derivative of 3e^{x/4} is 3/4 e^{x/4}

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\frac{d}{d x} (3 e^{\frac{x}{4}})

\frac{3}{4} e^{\frac{x}{4}}

Solution steps

\frac{d}{d x} (3 e^{\frac{x}{4}})

Take the constant out:

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

= 3 \frac{d}{d x} (e^{\frac{x}{4}})

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= 3 e^{\frac{x}{4}} \frac{1}{4}

Simplify

3 e^{\frac{x}{4}} \frac{1}{4} : \frac{3}{4} e^{\frac{x}{4}}

= \frac{3}{4} e^{\frac{x}{4}}

x^{2} - 2 x + 3

\frac{\partial}{\partial u} (v)

y = 7 x - x^{2}

f (x) = \frac{1}{1 + x ^{2}}, at x = 1

\int \frac{x ^{2}}{1 + x ^{3}} d x

What is the derivative of 3e^{x/4} ?
The derivative of 3e^{x/4} is 3/4 e^{x/4}
What is the first derivative of 3e^{x/4} ?
The first derivative of 3e^{x/4} is 3/4 e^{x/4}