Engineering Board Exam Reviewer · Derivatives of Hyperbolic Functions · medium

Differentiate y= (x2).

1. 2x, sech2(x2)
2. sech2(x2)
3. 2x (x2)
4. x, sech2(x2)

Answer

A. 2x, sech2(x2)

Solution

By the chain rule: y'= sech2(x2)·2x=2x, sech2(x2).

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