What is the derivative of 5/(2x^6) ?

The derivative of 5/(2x^6) is -(15)/(x^7)

What is the first derivative of 5/(2x^6) ?

The first derivative of 5/(2x^6) is -(15)/(x^7)

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derivative of

\frac{5}{2 x ^{6}}

- \frac{15}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{5}{2 x ^{6}})

Take the constant out:

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

= \frac{5}{2} \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= \frac{5}{2} \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= \frac{5}{2} (- 6 x^{- 6 - 1})

Simplify

\frac{5}{2} (- 6 x^{- 6 - 1}) : - \frac{15}{x ^{7}}

= - \frac{15}{x ^{7}}

x \to - 2 lim ((x + 1)^{7} (3 x^{2}))

\int - \frac{x}{y} d x

y^{^{'}} ln (y) + x^{2} y = 0

x = y, x = y^{2}

\int \frac{19 - 19 x}{1 - x} d x

What is the derivative of 5/(2x^6) ?
The derivative of 5/(2x^6) is -(15)/(x^7)
What is the first derivative of 5/(2x^6) ?
The first derivative of 5/(2x^6) is -(15)/(x^7)