What is the derivative of (e^{4x})/4+(e^{5x})/5 ?

The derivative of (e^{4x})/4+(e^{5x})/5 is e^{4x}+e^{5x}

What is the first derivative of (e^{4x})/4+(e^{5x})/5 ?

The first derivative of (e^{4x})/4+(e^{5x})/5 is e^{4x}+e^{5x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{e ^{4 x}}{4} + \frac{e ^{5 x}}{5}

e^{4 x} + e^{5 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{4 x} + e^{5 x}

f (x) = 3 x^{2} - 2 cos (x)

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

2 y^{^{''}} + 3 y^{^{'}} + 4 y = 0

\int x - x^{4} d x

\frac{d}{d x} (\frac{5 x - 2}{2 x + 7})

What is the derivative of (e^{4x})/4+(e^{5x})/5 ?
The derivative of (e^{4x})/4+(e^{5x})/5 is e^{4x}+e^{5x}
What is the first derivative of (e^{4x})/4+(e^{5x})/5 ?
The first derivative of (e^{4x})/4+(e^{5x})/5 is e^{4x}+e^{5x}