What is the derivative of-(36/(x^4)) ?

The derivative of-(36/(x^4)) is (144)/(x^5)

What is the first derivative of-(36/(x^4)) ?

The first derivative of-(36/(x^4)) is (144)/(x^5)

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\frac{d}{d x} (- \frac{36}{x ^{4}})

\frac{144}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{36}{x ^{4}})

Take the constant out:

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

= - 36 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 36 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 36 (- 4 x^{- 4 - 1})

Simplify

- 36 (- 4 x^{- 4 - 1}) : \frac{144}{x ^{5}}

= \frac{144}{x ^{5}}

\frac{d}{d x} (ln (3 x) - e^{- 2 x})

\int (cot (b x) + tan (b x))^{2} d x

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

\frac{d}{d y} (1 - y^{2})

n = 0 \sum \infty (- \frac{4}{9})^{n}

What is the derivative of-(36/(x^4)) ?
The derivative of-(36/(x^4)) is (144)/(x^5)
What is the first derivative of-(36/(x^4)) ?
The first derivative of-(36/(x^4)) is (144)/(x^5)