Continuity and DifferentiabilityHard
Question
Let f(x)
, where p is constant. Then 
f(x) at x = 0 is
, where p is constant. Then f(x) at x = 0 is Options
A.p
B.p + p2
C.p + p3
D.independent of p
Solution
Given, f(x)
On differentiating w.r.t.x, we get
f(x)
f′(x)
⇒ f′(x)
⇒ f′′(x)
and f′′′(x)
∴ f′′′(x)
= independent of p
On differentiating w.r.t.x, we get
f(x)
f′(x)
⇒ f′(x)
⇒ f′′(x)
and f′′′(x)
∴ f′′′(x)
= independent of p
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