If f_{n}(x)=e^{f_(n-1)^{(x)}}, for all n\in N and f_{0}(x)=x, then d/{dx} \{f_{n}(x)\} is equal to

Correct Answer is : fn(x).fn−1(x)...f2(x)f1(x)

f_{n}(x) \frac{d}{d x} \{f_{n+1}(x) \}

f_{n}(x). f_{n-1}(x) ... f_{2}(x) f_{1}(x)

Manipal Entrance Test 2019 Math Paper

Question : 38 of 70

Marks: +1, -0

If fn(x)=ef(n−1)(x), for all n∈N and f0(x)=x, then

{fn(x)} is equal to

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