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An example of a function whose derivative (any order) with respect to x is never 0, in MATLAB, is _______

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An example of a function whose derivative (any order) with respect to x is never 0, in MATLAB, is _______

(a) sin(x)

(b) x^n

(c) e^x

(d) does not exist

This question was addressed to me by my school principal while I was bunking the class.

My doubt is from Differentiation topic in section Beyond the Basics of MATLAB

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Right answer is (d) does not exist

The best explanation: It is not possible that the derivative of a function can never be 0. This is because there will always be a case where the derivative of the function becomes 0 for a certain value of x. This value of x can be real or imaginary.

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