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

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

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

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

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derivative of

f (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}}

\frac{d}{d x} ((x + y)^{3})

\frac{d}{d x} ((x^{3} - 8)^{\frac{2}{3}})

2 - 6 x

x \to 2 + lim (x^{2} - 1)

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

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