What is the derivative of f(x)=4e^{0.5x} ?

The derivative of f(x)=4e^{0.5x} is 2e^{0.5x}

What is the first derivative of f(x)=4e^{0.5x} ?

The first derivative of f(x)=4e^{0.5x} is 2e^{0.5x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = 4 e^{0.5 x}

2 e^{0.5 x}

Solution steps

\frac{d}{d x} (4 e^{0.5 x})

Take the constant out:

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

= 4 \frac{d}{d x} (e^{0.5 x})

Apply the chain rule:

e^{0.5 x} \frac{d}{d x} (0.5 x)

= e^{0.5 x} \frac{d}{d x} (0.5 x)

\frac{d}{d x} (0.5 x) = 0.5

= 4 e^{0.5 x} \cdot 0.5

Simplify

= 2 e^{0.5 x}

\frac{\partial}{\partial x} (x^{5} + x^{2} y + x + 5)

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3

x \to 1 lim (e^{x^{2} - 4 x + 1})

\int sin (in x) d x

\int_{- 1}^{0} 1

What is the derivative of f(x)=4e^{0.5x} ?
The derivative of f(x)=4e^{0.5x} is 2e^{0.5x}
What is the first derivative of f(x)=4e^{0.5x} ?
The first derivative of f(x)=4e^{0.5x} is 2e^{0.5x}