Continuity and DifferentiabilityHard
Question
If f(x), g(x), h(x) are polynomials in x of degree 2 and F(x) = 
, then F′(x) is equal to
, then F′(x) is equal to Options
A.1
B.0
C.-1
D.f(x) . g(x) . h(x)
Solution
F(x) = 
F′(x) =
(∵ f, g, h are of degree 2 ⇒ f″′ = 0, g″′ = 0, h″′ = 0)
∴ F′(x) = 0
F′(x) =
(∵ f, g, h are of degree 2 ⇒ f″′ = 0, g″′ = 0, h″′ = 0)
∴ F′(x) = 0
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