What is the derivative of y= 5/((2x^3))+2cos(x) ?

The derivative of y= 5/((2x^3))+2cos(x) is -(15)/(2x^4)-2sin(x)

What is the first derivative of y= 5/((2x^3))+2cos(x) ?

The first derivative of y= 5/((2x^3))+2cos(x) is -(15)/(2x^4)-2sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

y = \frac{5}{( 2 x ^{3} )} + 2 cos (x)

- \frac{15}{2 x ^{4}} - 2 sin (x)

Solution steps

\frac{d}{d x} (\frac{5}{2 x ^{3}} + 2 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{5}{2 x ^{3}}) + \frac{d}{d x} (2 cos (x))

\frac{d}{d x} (\frac{5}{2 x ^{3}}) = - \frac{15}{2 x ^{4}}

\frac{d}{d x} (2 cos (x)) = - 2 sin (x)

= - \frac{15}{2 x ^{4}} - 2 sin (x)

What is the derivative of y= 5/((2x^3))+2cos(x) ?
The derivative of y= 5/((2x^3))+2cos(x) is -(15)/(2x^4)-2sin(x)
What is the first derivative of y= 5/((2x^3))+2cos(x) ?
The first derivative of y= 5/((2x^3))+2cos(x) is -(15)/(2x^4)-2sin(x)