JEE Main 2019 Mathematics question
Let f be a differentiable function such that f(1) = 2 and f′(x) = f(x) for all x ∈ R. If h(x) = f(f(x)), then h′(1) is equal to:
Answer: (A)
Solution
f = ; h′(1) = f′(f(1)) f′(1) = f(2) · 2 = 4e.
Let f be a differentiable function such that f(1) = 2 and f′(x) = f(x) for all x ∈ R. If h(x) = f(f(x)), then h′(1) is equal to:
f = ; h′(1) = f′(f(1)) f′(1) = f(2) · 2 = 4e.