What is the derivative of 10(1-e^{x/2}) ?

The derivative of 10(1-e^{x/2}) is -5e^{x/2}

What is the first derivative of 10(1-e^{x/2}) ?

The first derivative of 10(1-e^{x/2}) is -5e^{x/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (10 (1 - e^{\frac{x}{2}}))

- 5 e^{\frac{x}{2}}

Solution steps

\frac{d}{d x} (10 (1 - e^{\frac{x}{2}}))

Take the constant out:

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

= 10 \frac{d}{d x} (1 - e^{\frac{x}{2}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 10 (\frac{d}{d x} (1) - \frac{d}{d x} (e^{\frac{x}{2}}))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (e^{\frac{x}{2}}) = e^{\frac{x}{2}} \frac{1}{2}

= 10 (0 - e^{\frac{x}{2}} \frac{1}{2})

Simplify

10 (0 - e^{\frac{x}{2}} \frac{1}{2}) : - 5 e^{\frac{x}{2}}

= - 5 e^{\frac{x}{2}}

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

\int \frac{1}{x ln ( x )} d x

\frac{d}{d x} (x y^{^{'}})

y = x^{4} + 7 x^{2} - x, (1, 7)

\int_{0}^{2} 2 sec (\frac{π x}{6}) d x

What is the derivative of 10(1-e^{x/2}) ?
The derivative of 10(1-e^{x/2}) is -5e^{x/2}
What is the first derivative of 10(1-e^{x/2}) ?
The first derivative of 10(1-e^{x/2}) is -5e^{x/2}