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Fill in the blanks to differentiate each of the given basic functions. You may assume that k, m, and b are appropriate constants:

ddx(sinhx)=____

Short Answer

Expert verified

The solution isddx(sinhx)=coshx.

Step by step solution

01

Step 1. Given information

The given function isddx(sinhx).

02

Step 2. Calculation

We have,

ddx(sinhx)

sinhx=ex-e-x2

Taking derivative on both sides.

ddx(sinhx)=ddx(ex-e-x2)=ddx(ex2)-ddx(e-x2)=ex2+e-x2=ex+e-x2=coshx

Hence,ddx(sinhx)=coshx

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