Differentiate the Following Functions:
(A) $f ( t ) = \tan ^ { - 1 } \sqrt { 1 - t }$

question 121

Essay

Differentiate the following functions:
(a) $f ( t ) = \tan ^ { - 1 } \sqrt { 1 - t }$ (b) $f ( x ) = \sin ^ { - 1 } \sqrt { 2 x + t }$ (c) $g ( x ) = \sqrt { \tan ^ { - 1 } ( 3 x ) }$

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Definitions:

Dial Caliper

A mechanical measuring caliper with a rotary display scale.

Component Measuring

The process of precisely determining the dimensions, capacity, or amount of various components or parts in manufacturing or engineering.

Posi-Drive Screw

A type of screw designed with a unique drive system that reduces the risk of cam-out and increases the efficiency of torque transmission.

Phillips Screw

A type of screw with a cross-shaped slot on its head, designed by Henry F. Phillips.