Question

nth derivative of Sinh(x) is

(a) 0.5(e^x – e^-x)

(b) 0.5(e^-x – e^x)

(c) 0.5(e^x – (-1)^n e^-x)

(d) 0.5((-1)^-n e^-x -e^x)

I had been asked this question in an internship interview.

I would like to ask this question from The nth Derivative of Some Elementary Functions topic in section Differential Calculus of Engineering Mathematics

Answer 1

The correct option is (c) 0.5(e^x – (-1)^n e^-x)

Easiest explanation: Y = Sinh(x)

Y = 0.5[e^x – e^-x].

y1 = 0.5 [e^x – (-1)e^-x].

y2 = 0.5 [e^x – (-1)^2 e^-x].

Similarly,

yn = 0.5 [e^x – (-1)^n e^-x].