Definite IntegrationHard
Question
Let f(x) =
then f is
Options
A.continuous at x = 3/2
B.continuous at x = 3
C.differentiable at x = 3/2
D.differentiable at x = 0
Solution
f(x) =
= 3x - x2
x > 3/2
f(x) =
=
+ x2 - 3x
f(x) =
Now this is continuous at x =
and at x = 3 also differentiable at x = 0
x > 3/2
f(x) =
=
f(x) =
Now this is continuous at x =
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