What is the derivative of 1/4 e^{3x} ?

The derivative of 1/4 e^{3x} is 3/4 e^{3x}

What is the first derivative of 1/4 e^{3x} ?

The first derivative of 1/4 e^{3x} is 3/4 e^{3x}

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derivative of

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

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

Solution steps

\frac{d}{d x} (\frac{1}{4} e^{3 x})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} (e^{3 x})

Apply the chain rule:

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

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

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

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

Simplify

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

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

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

\frac{\partial}{\partial x} (9 x^{5 y})

\frac{d ^{8}}{d x ^{8}} (1 - x^{2})

\frac{3 s}{( s ^{2} + 1 )}

f (x) = r x + n

What is the derivative of 1/4 e^{3x} ?
The derivative of 1/4 e^{3x} is 3/4 e^{3x}
What is the first derivative of 1/4 e^{3x} ?
The first derivative of 1/4 e^{3x} is 3/4 e^{3x}