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In this lesson, we will learn how to find the derivatives of inverse hyperbolic functions and how to use rules of differentiation with them.
Q1:
Find the derivative of the function π¦ = ( π₯ ) c o t h s e c β 1 .
Q2:
Find the derivative of t a n h β 1 ( π₯ ) by using the inverse function theorem together with the facts that d d t a n h c o s h π₯ π₯ = 1 π₯ 2 and c o s h s i n h 2 2 π₯ β π₯ = 1 .
Q3:
Find the derivative of the function π¦ = π₯ π₯ + β 1 β π₯ t a n h l n β 1 2 .
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