What is the derivative of y= 1/(x^7) ?

The derivative of y= 1/(x^7) is -7/(x^8)

What is the first derivative of y= 1/(x^7) ?

The first derivative of y= 1/(x^7) is -7/(x^8)

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derivative of

y = \frac{1}{x ^{7}}

- \frac{7}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 7 x^{- 7 - 1}

Simplify

- 7 x^{- 7 - 1} : - \frac{7}{x ^{8}}

= - \frac{7}{x ^{8}}

f (x) = x^{2} - \frac{1}{x}, (- 1, 2)

h \to 0 lim (\frac{( h + 2 ) ^{2} - 4}{h})

y = \frac{2 x}{x + 5}, (5, 1)

\frac{d ^{2}}{d x ^{2}} (3 x^{2} - 5 y^{2})

\frac{d}{d x} (1 + 6 x)

What is the derivative of y= 1/(x^7) ?
The derivative of y= 1/(x^7) is -7/(x^8)
What is the first derivative of y= 1/(x^7) ?
The first derivative of y= 1/(x^7) is -7/(x^8)