What is the derivative of y=4e^{5x} ?

The derivative of y=4e^{5x} is 20e^{5x}

What is the first derivative of y=4e^{5x} ?

The first derivative of y=4e^{5x} is 20e^{5x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 4 e^{5 x}

20 e^{5 x}

Solution steps

\frac{d}{d x} (4 e^{5 x})

Take the constant out:

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

= 4 \frac{d}{d x} (e^{5 x})

Apply the chain rule:

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

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

\frac{d}{d x} (5 x) = 5

= 4 e^{5 x} \cdot 5

Simplify

= 20 e^{5 x}

f (x) = x^{4} + 2 e^{x}

6

11, \frac{x ^{2}}{44}, 0, 22

(2^{x})^{8}

\frac{d}{d x} (\frac{1}{3 x ^{2} - 1})

What is the derivative of y=4e^{5x} ?
The derivative of y=4e^{5x} is 20e^{5x}
What is the first derivative of y=4e^{5x} ?
The first derivative of y=4e^{5x} is 20e^{5x}