What is the derivative of 4-(20/(x^3)+3/(x^5)) ?

The derivative of 4-(20/(x^3)+3/(x^5)) is (60)/(x^4)-(15)/(x^6)

What is the first derivative of 4-(20/(x^3)+3/(x^5)) ?

The first derivative of 4-(20/(x^3)+3/(x^5)) is (60)/(x^4)-(15)/(x^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (4 - \frac{20}{x ^{3}} + \frac{3}{x ^{5}})

\frac{60}{x ^{4}} - \frac{15}{x ^{6}}

Solution steps

\frac{d}{d x} (4 - \frac{20}{x ^{3}} + \frac{3}{x ^{5}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (\frac{20}{x ^{3}}) + \frac{d}{d x} (\frac{3}{x ^{5}})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (\frac{20}{x ^{3}}) = - \frac{60}{x ^{4}}

\frac{d}{d x} (\frac{3}{x ^{5}}) = - \frac{15}{x ^{6}}

= 0 - (- \frac{60}{x ^{4}}) - \frac{15}{x ^{6}}

Simplify

= \frac{60}{x ^{4}} - \frac{15}{x ^{6}}

f (x) = x^{2} + x, at (x = 1)

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

3 x y^{2} y^{^{'}} = 3 x^{4} + y^{3}

(3.7) (6.12)

\frac{d}{d y} (csc (y))

What is the derivative of 4-(20/(x^3)+3/(x^5)) ?
The derivative of 4-(20/(x^3)+3/(x^5)) is (60)/(x^4)-(15)/(x^6)
What is the first derivative of 4-(20/(x^3)+3/(x^5)) ?
The first derivative of 4-(20/(x^3)+3/(x^5)) is (60)/(x^4)-(15)/(x^6)