What is the derivative of (1-x/7 ^{-7}) ?

The derivative of (1-x/7 ^{-7}) is (5764801)/((7-x)^8)

What is the first derivative of (1-x/7 ^{-7}) ?

The first derivative of (1-x/7 ^{-7}) is (5764801)/((7-x)^8)

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

\frac{5764801}{( 7 - x ) ^{8}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

- \frac{7}{( 1 - \frac{x}{7} ) ^{8}} (- \frac{1}{7}) : \frac{5764801}{( 7 - x ) ^{8}}

= \frac{5764801}{( 7 - x ) ^{8}}

\frac{d}{d r} (\frac{1}{r})

\frac{d}{d x} (9 arctan (x))

f (x) = \frac{x ^{2} + 3 x - 2}{x}

x \to 0 lim (6 - \frac{1}{x ^{3}})

What is the derivative of (1-x/7 ^{-7}) ?
The derivative of (1-x/7 ^{-7}) is (5764801)/((7-x)^8)
What is the first derivative of (1-x/7 ^{-7}) ?
The first derivative of (1-x/7 ^{-7}) is (5764801)/((7-x)^8)