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Hey,
dy/dx for given equation is equal to
=((e^x+e^-x)d/dx(e^x-e^-x)-(e^x-e^-x)d/dx(e^x+e^-x))/(e^x+e^-x)^2
=((e^x+e^-x)(e-(-e^-x))-(e^x-e^-x)(e^x-e^-x))/(e^x+e^-x)^2
=(((e^x+e^-x)^2)-((e^x-e^-x)^2)/(e^x+e^-x)^2
= 4/(e^x+e^-x)^2
which is the required answer.
I hope this helps.
All the best!
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Question : If $x= 19$ and $y= 18$, then the value of $\frac{x^{2}+y^{2}+xy}{x^{3}-y^{3}}$ is:
Option 1: 1
Option 2: 37
Option 3: 324
Option 4: 361
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