What is the derivative of xcos(pix+1) ?

The derivative of xcos(pix+1) is -pixsin(pix)+cos(pix)

What is the first derivative of xcos(pix+1) ?

The first derivative of xcos(pix+1) is -pixsin(pix)+cos(pix)

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 cos (π x) + 1)

- π x sin (π x) + cos (π x)

Solution steps

\frac{d}{d x} (x cos (π x) + 1)

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= cos (π x) - π x sin (π x) + 0

Simplify

= - π x sin (π x) + cos (π x)

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = 0

x \to 4 + lim (\frac{2}{x ^{2} - 16})

x \to \infty lim (x^{3 x})

y^{^{'}} - \frac{y}{x} = - x

y = \frac{ln ( e ^{x} )}{x}

What is the derivative of xcos(pix+1) ?
The derivative of xcos(pix+1) is -pixsin(pix)+cos(pix)
What is the first derivative of xcos(pix+1) ?
The first derivative of xcos(pix+1) is -pixsin(pix)+cos(pix)