What is the derivative of f(x)e^6+ln(4) ?

The derivative of f(x)e^6+ln(4) is e^6x

What is the first derivative of f(x)e^6+ln(4) ?

The first derivative of f(x)e^6+ln(4) is e^6x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) e^{6} + ln (4)

e^{6} x

Solution steps

\frac{d}{df} (f x e^{6} + ln (4))

Simplify

f x e^{6} + ln (4) : e^{6} f x + 2 ln (2)

= \frac{d}{df} (e^{6} f x + 2 ln (2))

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{df} (e^{6} f x) + \frac{d}{df} (2 ln (2))

\frac{d}{df} (e^{6} f x) = e^{6} x

\frac{d}{df} (2 ln (2)) = 0

= e^{6} x + 0

Simplify

= e^{6} x

What is the derivative of f(x)e^6+ln(4) ?
The derivative of f(x)e^6+ln(4) is e^6x
What is the first derivative of f(x)e^6+ln(4) ?
The first derivative of f(x)e^6+ln(4) is e^6x