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Popular >

derivative of 8(1-x^{-2})

Solution

\frac{d}{d x} (8 (1 - x)^{- 2})

Solution

\frac{16}{( 1 - x ) ^{3}}

Solution steps

\frac{d}{d x} (8 (1 - x)^{- 2})

Take the constant out:

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

= 8 \frac{d}{d x} ((1 - x)^{- 2})

Apply the chain rule:

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

= - \frac{2}{( 1 - x ) ^{3}} \frac{d}{d x} (1 - x)

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

= 8 (- \frac{2}{( 1 - x ) ^{3}} (- 1))

Simplify

8 (- \frac{2}{( 1 - x ) ^{3}} (- 1)) : \frac{16}{( 1 - x ) ^{3}}

= \frac{16}{( 1 - x ) ^{3}}

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16(d^4y)/(dx^4)+48(d^2y)/(dx^2)+36y=0

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Frequently Asked Questions (FAQ)

What is the derivative of 8(1-x^{-2}) ?
The derivative of 8(1-x^{-2}) is (16)/((1-x)^3)
What is the first derivative of 8(1-x^{-2}) ?
The first derivative of 8(1-x^{-2}) is (16)/((1-x)^3)