Continuity and DifferentiabilityHard
Question
Let f(x) = a + b | x | + c | x |4, where a, b and c are real constants. Then f(x) is differentiable at x = 0, if -
Options
A.a = 0
B.b = 0
C.c = 0
D.None of these
Solution
f(x) = a + b | x | + c | x |4
f(x) =
f′(x) =
diff. at x = 0 when b = 0
f(x) =
f′(x) =
diff. at x = 0 when b = 0
Create a free account to view solution
View Solution FreeMore Continuity and Differentiability Questions
If y = sin2α + cos2(α + β) + 2sin α sinβ cos (α + β) , thenis -...If y = f and f′(x) = sinx2, then is equal to-...d/dx is equal to -...If f(x) = (x + 1) tan−1 (e− 2x), then f′(0) equals-...If f(x) = xn, then the value of f(1) - + ...... + -...