What is the derivative of-7/(x^8) ?

The derivative of-7/(x^8) is (56)/(x^9)

What is the first derivative of-7/(x^8) ?

The first derivative of-7/(x^8) is (56)/(x^9)

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\frac{d}{d x} (- \frac{7}{x ^{8}})

\frac{56}{x ^{9}}

Solution steps

\frac{d}{d x} (- \frac{7}{x ^{8}})

Take the constant out:

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

= - 7 \frac{d}{d x} (\frac{1}{x ^{8}})

Apply exponent rule:

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

= - 7 \frac{d}{d x} (x^{- 8})

Apply the Power Rule:

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

= - 7 (- 8 x^{- 8 - 1})

Simplify

- 7 (- 8 x^{- 8 - 1}) : \frac{56}{x ^{9}}

= \frac{56}{x ^{9}}

y = \frac{8 x}{x ^{2} + 1}

\frac{d}{d x} (x^{\frac{1}{3}} (x + 3)^{\frac{2}{3}})

\int 7 tan (x) d x

\int \frac{1}{sin ^{5} ( x ) cos ( x )} d x

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

What is the derivative of-7/(x^8) ?
The derivative of-7/(x^8) is (56)/(x^9)
What is the first derivative of-7/(x^8) ?
The first derivative of-7/(x^8) is (56)/(x^9)