Continuity and DifferentiabilityHard
Question
If u = ax + b, then 
(f(ax + b)) is equal to
(f(ax + b)) is equal toOptions
A.
(f(u))
(f(u)) B.a (f(u))
(f(u)) C.an (f(u))
(f(u)) D.a-n (f(u))
(f(u)) Solution
u = ax + b
Let y = f(ax + b)
= a f′(ax + b)
= a2 f″(ax + b)
= a3 f″′(ax + b)
:
= an fn (ax + b)
⇒
f(ax + b) = an fn (u) = an 
f(u)
Let y = f(ax + b)
= a f′(ax + b) = a2 f″(ax + b)= a3 f″′(ax + b):
= an fn (ax + b)⇒
f(ax + b) = an fn (u) = an f(u)Create a free account to view solution
View Solution FreeMore Continuity and Differentiability Questions
If f(x) = xn, then the value of f(1) - + ...... + -...Let ′f′ be a continuous function on R. If f (1/4n) = (sin en)e-n2 + then f(0) is -...If x = , y = , then x is equal to...Let f : R → R be a function defined by f(x) = max {x, x3} The set of all points ehere f(x) is not differentiable, ...Let g(x) = ; 0 0, and let p be the left hand derivative of |x - 1| at x = 1. If g(x) = p, then...