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Chapter 2: Q. 93 (page 236)

Prove each of the differentiation formulas in Exercises 93鈥�96. (These exercises involve hyperbolic functions.)

ddxcoshx=sinhx

Short Answer

Expert verified

We proved the formuladdxcoshx=sinhx.

Step by step solution

01

Step 1. Given Information 

We need to prove the hyperbolic functionddxcoshx=sinhx.

02

Step 2. Proving the function

ddxcoshx=ddxex+e-x2=12ddxex+ddxe-x=12ex-e-x=sinhx

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