What is the derivative of y^{1-n} ?

The derivative of y^{1-n} is y^{-n}(1-n)(dy)/(dx)

What is the first derivative of y^{1-n} ?

The first derivative of y^{1-n} is y^{-n}(1-n)(dy)/(dx)

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\frac{d}{d x} (y^{1 - n})

y^{- n} (1 - n) \frac{d y}{d x}

Solution steps

\frac{d}{d x} (y^{1 - n})

Apply the chain rule:

y^{- n} (1 - n) \frac{d y}{d x}

= y^{- n} (1 - n) \frac{d y}{d x}

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What is the derivative of y^{1-n} ?
The derivative of y^{1-n} is y^{-n}(1-n)(dy)/(dx)
What is the first derivative of y^{1-n} ?
The first derivative of y^{1-n} is y^{-n}(1-n)(dy)/(dx)