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help me, please
if f(X) = sin(sin(x)), use a graph to find a upper bound for abs(f^{(4)}(x))
Thanks
if f(X) = sin(sin(x)), use a graph to find a upper bound for abs(f^{(4)}(x))
Thanks
if f(X) = sin(sin(x)), use a graph to find a upper bound for abs(f^{(4)}(x))
Hi ZuzooVn! Welcome to PF!
ok … draw y = sin(x).
Now turn the paper sideways and draw x = sin(y) …
what do you get?
tiny-tim has suggested a first step. Have you done it yet?
help me, please
if f(X) = sin(sin(x)), use a graph to find a upper bound for abs(f^{(4)}(x))
Thanks
You need to define what f^{(4)}(x) means. Do you mean, the fourth iteration of f on x, i.e. f o f o f o f (x)? Or do you mean (as others have interpreted) the fourth derivative of f?
Do you mean least upper bound? I get 8 as an upper bound.Unless I made a silly mistake typing things in, it appears that Wolfram Alpha thinks it should be around 3.76.