What is the derivative of f(x)=-(13)/(x^6) ?

The derivative of f(x)=-(13)/(x^6) is (78)/(x^7)

What is the first derivative of f(x)=-(13)/(x^6) ?

The first derivative of f(x)=-(13)/(x^6) is (78)/(x^7)

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derivative of

f (x) = - \frac{13}{x ^{6}}

\frac{78}{x ^{7}}

Solution steps

\frac{d}{d x} (- \frac{13}{x ^{6}})

Take the constant out:

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

= - 13 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - 13 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 13 (- 6 x^{- 6 - 1})

Simplify

- 13 (- 6 x^{- 6 - 1}) : \frac{78}{x ^{7}}

= \frac{78}{x ^{7}}

\int \frac{3}{t t ^{2} - 1} d t

e^{- x^{2}}

x \to + 0 lim (\frac{x}{x - 1})

\int_{2}^{4} \frac{x ( 2 x - 3 )}{6} d x

f (x) = lo g_{10} (x^{8} + 9)

What is the derivative of f(x)=-(13)/(x^6) ?
The derivative of f(x)=-(13)/(x^6) is (78)/(x^7)
What is the first derivative of f(x)=-(13)/(x^6) ?
The first derivative of f(x)=-(13)/(x^6) is (78)/(x^7)