What is the derivative of-4sin(x)-9ln(x)+11 ?

The derivative of-4sin(x)-9ln(x)+11 is -9/x-4cos(x)

What is the first derivative of-4sin(x)-9ln(x)+11 ?

The first derivative of-4sin(x)-9ln(x)+11 is -9/x-4cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

- 4 sin (x) - 9 ln (x) + 11

- \frac{9}{x} - 4 cos (x)

Solution steps

\frac{d}{d x} (- 4 sin (x) - 9 ln (x) + 11)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4 sin (x)) - \frac{d}{d x} (9 ln (x)) + \frac{d}{d x} (11)

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

\frac{d}{d x} (9 ln (x)) = \frac{9}{x}

\frac{d}{d x} (11) = 0

= - 4 cos (x) - \frac{9}{x} + 0

Simplify

= - \frac{9}{x} - 4 cos (x)

What is the derivative of-4sin(x)-9ln(x)+11 ?
The derivative of-4sin(x)-9ln(x)+11 is -9/x-4cos(x)
What is the first derivative of-4sin(x)-9ln(x)+11 ?
The first derivative of-4sin(x)-9ln(x)+11 is -9/x-4cos(x)