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

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

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

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

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\frac{d}{d 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}}

\int_{0}^{3} \frac{1}{x} d x

\frac{d}{d x} (\frac{27}{( x + 5 ) ^{\frac{4}{3}}})

\int sin (t) \cdot sin (t) d t

n \to \infty lim (7 n^{\frac{5}{4}})

y^{^{'}} - y = 9 t e^{2} t, y (0) = 1

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