Find the Derivatives of the Following Functions:
(A) $f ( x ) = \sin ^ { - 1 } \left( x ^ { 2 } \right)$

question 44

Essay

Find the derivatives of the following functions:
(a) $f ( x ) = \sin ^ { - 1 } \left( x ^ { 2 } \right)$ (b) $f ( x ) = \left( \sin ^ { - 1 } x \right) ^ { 2 }$ (c) $f ( x ) = x \sin ^ { - 1 } \left( x ^ { 3 } \right)$ (d) $f ( x ) = \tan ^ { - 1 } \left( \frac { x + 1 } { x - 1 } \right)$ (e) $f ( x ) = \cos ^ { - 1 } \left( e ^ { x } \right)$

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Purchase Price

The amount paid to acquire an asset or service.

Put Option

A financial contract giving the holder the right, but not the obligation, to sell a specified amount of an underlying asset at a set price within a specified time.

Strike Price

The price at which the holder of an option can execute the contract to buy (call) or sell (put) the underlying asset.

Stock Price

The current price at which a single share of a company's stock can be bought or sold in the financial markets.