What is the derivative of 27e^{3x} ?

The derivative of 27e^{3x} is 81e^{3x}

What is the first derivative of 27e^{3x} ?

The first derivative of 27e^{3x} is 81e^{3x}

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\frac{d}{d x} (27 e^{3 x})

81 e^{3 x}

Solution steps

\frac{d}{d x} (27 e^{3 x})

Take the constant out:

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

= 27 \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

= 27 e^{3 x} \cdot 3

Simplify

= 81 e^{3 x}

\int (4 x^{3} + 1) ln (x) d x

\int x \cdot sec^{2} (2 x) d x

x^{2} y^{^{''}} + 3 x y^{^{'}} = 0

t \cdot \frac{d y}{d t} + 34 y = \frac{1}{t}

v + t v^{^{'}} = \frac{( 4 + v )}{( 4 v - 1 )}

What is the derivative of 27e^{3x} ?
The derivative of 27e^{3x} is 81e^{3x}
What is the first derivative of 27e^{3x} ?
The first derivative of 27e^{3x} is 81e^{3x}