Register to reply

Recursive Derivatives problem

by Monsu
Tags: derivatives
Share this thread:
Monsu
#1
Sep26-04, 12:35 AM
P: 39
hi, could smne pls give me an idea of how to deal with this problem?

Suppose that f(0) = 0 and that f'(0) =1 , calculate f(f(f(x))) at point x=0
thanks a lot, any hint at all would b helpful, as i completely clueless.
Phys.Org News Partner Science news on Phys.org
New model helps explain how provisions promote or reduce wildlife disease
Stress can make hard-working mongooses less likely to help in the future
Grammatical habits in written English reveal linguistic features of non-native speakers' languages
vsage
#2
Sep26-04, 12:47 AM
P: n/a
if f(0) = 0 then f(f(0)) = f(0) = 0.. it's recursive. I am not sure why you would need f'(x) to solve nothing to do with derivatives. Are you sure you typed the question correctly?
Monsu
#3
Sep26-04, 01:06 AM
P: 39
here it is again:
f(0) = 0 and f'(0) = 1 calculate the derivative of f(f(f(x))) at point x=0

that's the exact question.
thanks for the help on the second question

vsage
#4
Sep26-04, 01:11 AM
P: n/a
Recursive Derivatives problem

Oh I see calculate the DERIVATIVE of f(f(f(0)))

First lets set g(x) = f(f(x))
g'(x) is therefore f'(f(x))*f'(x)

Derivative f(g(x)) after substitution is f'(g(x))*g'(x)

= f'(f(f(0)))*f'(f(0))*f'(0)

What a mouthful. If I were to venture a wild crazy guess I'd say that simplifies to 1.
Monsu
#5
Sep26-04, 01:31 AM
P: 39
oh great! i just worked it out, it did come to 1. thanks a lot.
can u give a further hint on the other question, i'm still a bit confused there.
thanks again, marvellous!


Register to reply

Related Discussions
Line Tangent ro a Parabola Precalculus Mathematics Homework 5
When to use derivatives? Calculus 8
Derivatives Calculus & Beyond Homework 0
3 different derivatives? Calculus & Beyond Homework 12
Find instantaneous rate of change of 7/3z^2 Calculus & Beyond Homework 2