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Byju's Answer
Standard XII
Mathematics
Strictly Increasing Functions
Let f x = x ∧...
Question
Let f(x)= {x^2 ; x>=0
{ax ; x<0
Find a for which f(x) is monotonically increasing function at x=0.
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Solution
We saw that for a monotonically increasing function f’(x) ≥ 0.
For x>=0
f'(x)= 2x &
For x<0
f'(x)= a
so a must be >=0 for monotonically increasing fn at x=0
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