What is the derivative of 5/(8x^8) ?

The derivative of 5/(8x^8) is -5/(x^9)

What is the first derivative of 5/(8x^8) ?

The first derivative of 5/(8x^8) is -5/(x^9)

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\frac{d}{d x} (\frac{5}{8 x ^{8}})

- \frac{5}{x ^{9}}

Solution steps

\frac{d}{d x} (\frac{5}{8 x ^{8}})

Take the constant out:

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

= \frac{5}{8} \frac{d}{d x} (\frac{1}{x ^{8}})

Apply exponent rule:

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

= \frac{5}{8} \frac{d}{d x} (x^{- 8})

Apply the Power Rule:

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

= \frac{5}{8} (- 8 x^{- 8 - 1})

Simplify

\frac{5}{8} (- 8 x^{- 8 - 1}) : - \frac{5}{x ^{9}}

= - \frac{5}{x ^{9}}

\frac{x ^{2}}{4 ( 2 - x )}

\int 9 y^{- 2} d y

f (x) = x^{2} - 25

x \to 0 lim (\frac{sin ( 6 x )}{sin ( 9 x )})

t y^{^{'}} + (t + 1) y = t, y (ln (7)) = 1

What is the derivative of 5/(8x^8) ?
The derivative of 5/(8x^8) is -5/(x^9)
What is the first derivative of 5/(8x^8) ?
The first derivative of 5/(8x^8) is -5/(x^9)