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Chapter 2: Q 37. (page 237)

Fill in the blank:

ddx(sinh-1x).

Short Answer

Expert verified

ddx(sinh-1x)=1x2+1.

Step by step solution

01

Given Information 

The given expression is ddx(sinh-1x).

02

Simplification 

We know that

sinh-1x=lnx+x2+1.wecomputethederivativeofsinh-1x.ddx(sinh-1x)=ddx(lnx+x2+1=1x+x2+1{1+12(x2+1)-12(2x)}=1x2+1Therefore,ddx(sinh-1x)=1x2+1.

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