Continuity and DifferentiabilityHard
Question
Let f(x) = 
. Then 
is equal to
. Then is equal toOptions
A.2
B.-2
C.-1
D.0
Solution
f′(x) = 
= x2 sin x + 2x tan x - 2 sin x + x2 sec2 x + 2 sin x - 2x cos x
⇒
= 0 + 0 - 2 + 0 + 0 + 2 - 2 = - 2
= x2 sin x + 2x tan x - 2 sin x + x2 sec2 x + 2 sin x - 2x cos x
⇒
= 0 + 0 - 2 + 0 + 0 + 2 - 2 = - 2
Create a free account to view solution
View Solution FreeMore Continuity and Differentiability Questions
If (x) = , g(x) = and h(x) = 2x - 3, then f′(h′(g′(x)) =...If y = , then dy/dx equals-...Let f(x) = |x - a| φ(x), where φ is a continuous function and φ(a) ≠ 0. Then -...If x √y + y √x = 1, then dy/dx equals-...The differential coefficient of the function tan−1 w.r.t. x2 is-...