What is the derivative of-(18/(x^3)) ?

The derivative of-(18/(x^3)) is (54)/(x^4)

What is the first derivative of-(18/(x^3)) ?

The first derivative of-(18/(x^3)) is (54)/(x^4)

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\frac{d}{d x} (- \frac{18}{x ^{3}})

\frac{54}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{18}{x ^{3}})

Take the constant out:

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

= - 18 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= - 18 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - 18 (- 3 x^{- 3 - 1})

Simplify

- 18 (- 3 x^{- 3 - 1}) : \frac{54}{x ^{4}}

= \frac{54}{x ^{4}}

f (x) = \frac{1}{x - 2}, at x = 4

(\frac{19}{2}, - \frac{5}{3}), (- \frac{3}{2}, - \frac{7}{24})

\int \frac{sec ( x ) tan ( x )}{sec ( x ) - 4} d x

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 4

\int \frac{1}{( 1 - t ) ^{2}} d t

What is the derivative of-(18/(x^3)) ?
The derivative of-(18/(x^3)) is (54)/(x^4)
What is the first derivative of-(18/(x^3)) ?
The first derivative of-(18/(x^3)) is (54)/(x^4)