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Popular >

derivative of-(13/(x^5))

Solution

\frac{d}{d x} (- \frac{13}{x ^{5}})

Solution

\frac{65}{x ^{6}}

Solution steps

\frac{d}{d x} (- \frac{13}{x ^{5}})

Take the constant out:

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

= - 13 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= - 13 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= - 13 (- 5 x^{- 5 - 1})

Simplify

- 13 (- 5 x^{- 5 - 1}) : \frac{65}{x ^{6}}

= \frac{65}{x ^{6}}

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derivative of (2(3x^4-5)/(x^3))

\frac{d}{d x} (\frac{2 ( 3 x ^{4} - 5 )}{x ^{3}})

slope ofintercept (-2.2)(0)slope intercept

(- 2.2) (0)

area y=6x^2,y=x^2+4 area

y = 6 x^{2}, y = x^{2} + 4

Frequently Asked Questions (FAQ)

What is the derivative of-(13/(x^5)) ?
The derivative of-(13/(x^5)) is (65)/(x^6)
What is the first derivative of-(13/(x^5)) ?
The first derivative of-(13/(x^5)) is (65)/(x^6)