What is the derivative of y=5e^{3x} ?

The derivative of y=5e^{3x} is 15e^{3x}

What is the first derivative of y=5e^{3x} ?

The first derivative of y=5e^{3x} is 15e^{3x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 5 e^{3 x}

15 e^{3 x}

Solution steps

\frac{d}{d x} (5 e^{3 x})

Take the constant out:

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

= 5 \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

= 5 e^{3 x} \cdot 3

Simplify

= 15 e^{3 x}

((3 x - 2)^{4})^{^{'}}

(1 + x)^{5}

\frac{d}{d v} (v - 20)

(x^{2} + 3 x) (x^{3} - 9 x)

x^{2 \cdot x}

What is the derivative of y=5e^{3x} ?
The derivative of y=5e^{3x} is 15e^{3x}
What is the first derivative of y=5e^{3x} ?
The first derivative of y=5e^{3x} is 15e^{3x}