What is the derivative of (x-pisin(x)) ?

The derivative of (x-pisin(x)) is sin(x)+cos(x)(x-pi)

What is the first derivative of (x-pisin(x)) ?

The first derivative of (x-pisin(x)) is sin(x)+cos(x)(x-pi)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((x - π) sin (x))

sin (x) + cos (x) (x - π)

Solution steps

\frac{d}{d x} ((x - π) sin (x))

Apply the Product Rule:

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

f = x - π, g = sin (x)

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

\frac{d}{d x} (x - π) = 1

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

= 1 \cdot sin (x) + cos (x) (x - π)

Simplify

= sin (x) + cos (x) (x - π)

\frac{1}{3 x + 4}

x \to 4 lim (- \frac{3 x}{7} + \frac{8}{7})

x \to 9 - lim (81 - x^{2})

\frac{d}{d x} ((x^{2} - 4)^{\frac{2}{3}})

sin (b x)

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