en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (pi-xcos(x))

Solution

\frac{d}{d x} ((π - x) cos (x))

Solution

- cos (x) - sin (x) (π - x)

Solution steps

\frac{d}{d x} ((π - x) cos (x))

Apply the Product Rule:

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

f = π - x, g = cos (x)

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

\frac{d}{d x} (π - x) = - 1

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

= (- 1) cos (x) + (- sin (x)) (π - x)

Simplify

= - cos (x) - sin (x) (π - x)

Popular Examples

derivative of 2x^2-4x-1 derivative of

2 x^{2} - 4 x - 1

derivative of e^{|x|}

\frac{d}{d x} (e^{∣ x ∣})

(\partial)/(\partial x)(cos(x+2y))

\frac{\partial}{\partial x} (cos (x + 2 y))

tangent of y=(x^3-9x)^8,(3,0)tangent of

y = (x^{3} - 9 x)^{8}, (3, 0)

x^2y^{''}-2xy^'+2y=x^2+2

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = x^{2} + 2

Frequently Asked Questions (FAQ)

What is the derivative of (pi-xcos(x)) ?
The derivative of (pi-xcos(x)) is -cos(x)-sin(x)(pi-x)
What is the first derivative of (pi-xcos(x)) ?
The first derivative of (pi-xcos(x)) is -cos(x)-sin(x)(pi-x)