What is the derivative of y=6e^{3x} ?

The derivative of y=6e^{3x} is 18e^{3x}

What is the first derivative of y=6e^{3x} ?

The first derivative of y=6e^{3x} is 18e^{3x}

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derivative of

y = 6 e^{3 x}

18 e^{3 x}

Solution steps

\frac{d}{d x} (6 e^{3 x})

Take the constant out:

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

= 6 \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

= 6 e^{3 x} \cdot 3

Simplify

= 18 e^{3 x}

\frac{d}{d x} (6 x^{2} + 5)

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What is the derivative of y=6e^{3x} ?
The derivative of y=6e^{3x} is 18e^{3x}
What is the first derivative of y=6e^{3x} ?
The first derivative of y=6e^{3x} is 18e^{3x}