What is the derivative of f(x)=(56)/(x^9) ?

The derivative of f(x)=(56)/(x^9) is -(504)/(x^{10)}

What is the first derivative of f(x)=(56)/(x^9) ?

The first derivative of f(x)=(56)/(x^9) is -(504)/(x^{10)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = \frac{56}{x ^{9}}

- \frac{504}{x ^{10}}

Solution steps

\frac{d}{d x} (\frac{56}{x ^{9}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 56 \frac{d}{d x} (\frac{1}{x ^{9}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 56 \frac{d}{d x} (x^{- 9})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 56 (- 9 x^{- 9 - 1})

Simplify

56 (- 9 x^{- 9 - 1}) : - \frac{504}{x ^{10}}

= - \frac{504}{x ^{10}}

x \to 0 lim (x^{2} - 3)

x \to 2 lim (\frac{x + 5}{x - 2})

\int 2 sin (x) - 1 d x

\frac{d}{d x} (sin^{5} (ln (e^{3 x - 1})))

\int t e^{- t} - 2 d t

What is the derivative of f(x)=(56)/(x^9) ?
The derivative of f(x)=(56)/(x^9) is -(504)/(x^{10)}
What is the first derivative of f(x)=(56)/(x^9) ?
The first derivative of f(x)=(56)/(x^9) is -(504)/(x^{10)}