en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

- \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)

Popular Examples

(d^5)/(dx^5)(1/(x-1))

\frac{d ^{5}}{d x ^{5}} (\frac{1}{x - 1})

integral of (-2sec^2(x))

\int (- 2 sec^{2} (x)) d x

integral from 1 to 2 of 2/(x^3)

\int_{1}^{2} \frac{2}{x ^{3}} d x

9(t+1)(dy)/(dt)-8y=8t

9 (t + 1) \frac{d y}{d t} - 8 y = 8 t

derivative of y= 1/x+cos(2x)derivative of

y = \frac{1}{x} + cos (2 x)

Frequently Asked Questions (FAQ)

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)