Set, Relation and FunctionMedium
Question
The function f : R → R given by f(x) = x(tan-1x)2 is -
Options
A.continuous and differentiable on R.
B.continuous but not differentiable on R.
C.monotonically increasing on R.
D.such that f′(x) is continuous and differentiable on R.
Solution
f′(x) = tan-1x
≥ 0 ∀ x ∈ R
∴ both f & f′ are continuous & differentiable on R.
≥ 0 ∀ x ∈ R∴ both f & f′ are continuous & differentiable on R.
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