en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (1+cos(x)cos(x))

Solution

\frac{d}{d x} ((1 + cos (x)) cos (x))

Solution

- sin (x) - sin (2 x)

Solution steps

\frac{d}{d x} ((1 + cos (x)) cos (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 1 + cos (x), g = cos (x)

= \frac{d}{d x} (1 + cos (x)) cos (x) + \frac{d}{d x} (cos (x)) (1 + cos (x))

\frac{d}{d x} (1 + cos (x)) = - sin (x)

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

= (- sin (x)) cos (x) + (- sin (x)) (1 + cos (x))

Simplify

(- sin (x)) cos (x) + (- sin (x)) (1 + cos (x)) : - sin (x) - sin (2 x)

= - sin (x) - sin (2 x)

Graph

Popular Examples

integral of 10sin^3(x)cos^2(x)

\int 10 sin^{3} (x) cos^{2} (x) d x

derivative of y=(6-x^2)(x^3-3x+4)derivative of

y = (6 - x^{2}) (x^{3} - 3 x + 4)

integral of |u+1|

\int ∣ u + 1 ∣ d u

(\partial)/(\partial t)(rsin(t)sin(x))

\frac{\partial}{\partial t} (r sin (t) sin (x))

derivative of e^{2x-y}

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

Frequently Asked Questions (FAQ)

What is the derivative of (1+cos(x)cos(x)) ?
The derivative of (1+cos(x)cos(x)) is -sin(x)-sin(2x)
What is the first derivative of (1+cos(x)cos(x)) ?
The first derivative of (1+cos(x)cos(x)) is -sin(x)-sin(2x)