Question

Q.15 Let f:[0,3] → R be defined by
f(x) =
exa
0<x< 1,
1<x<2
+1, 25x<3.
-e,
lexa
Now, define F:[0,3] → R by
F(O) = 0 and F(x) = [rdt, for 0 < x 53.
Then
(A) F is differentiable at x = 1 and F'(1) = 0
(B) F is differentiable at x = 2 and F'(2) = 0
(C) F is not differentiable at x = 1
(D) F is differentiable at x = 2 and F'(2) = 1​

Answer 1

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