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Find the derivative. y = sinh−1(tan(x))

asked
User Fabianvf
by
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1 Answer

0 votes

Answer:

-sinh(1)sec^2(x)

Explanation:

The notation that I suppose you're using is d/dx.

Starting with

y = sinh−1(tan(x))

Simplify the trigonometric ratio sinh, then simplify:

d/dx(sinh(-tan(x))

d/dx [-sinh(1)tan(x)]

=-sinh(1) * d/dx [tan(x)]

Therefore, you get:

-sinh(1)sec^2(x)

answered
User Slow Harry
by
8.4k points

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