If f(x) = ^ -1 x, g(x) = e^x and h(x) = g(f(x)), then h'(x) h(x) =

MHT CET 2024 Mathematics question

If , and , then

Answer: (A)

. Taking logarithms, . Differentiate: , option (A). (Directly,

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-093289