Suppose F and G Are Functions That Are Differentiable at X

question 68

Short Answer

Suppose f and g are functions that are differentiable at x = 6 and that ​f​(5) = 1, ​f​ '(5) = -1, ​g​(5) = -2, and g '​(5) = 5. Find the value of ​h​ '(5).
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Definitions:

Forcing Capability

Forcing capability refers to the ability within a control system, such as a PLC, to manually override the normal control logic to set an input or output to a specified state, useful for testing or emergency interventions.

Master Control Reset

A function in industrial control systems used to return a system or process to its default startup state, effectively resetting all controlled devices.

Override Instructions

Commands in a control system that temporarily bypass normal operations or settings to achieve a specific task or function.