f(x) = x^2 sin (4/x) , when x doesn't = 0, and 0 when x=0, find the derivative of f at 0 if it exist!! : )) that's a brain load.... anyone can chime in?

Question

f(x) = x^2 sin (4/x) , when x doesn't = 0, and 0 when x=0,  find the derivative of f at 0 if it exist!! : ))  that's a brain load.... anyone can chime in?

anonymous · Answer

Well the question is worded kind of weird. What it sounds like it's asking is it wants to know the value of the derivative if x=0. Well when x=0 the fucntion has a value of 0, thus what's the derivative?

bahrom7893 · Answer

no u take the derivative first.. Then u plug in x=0

bahrom7893 · Answer

or they might be talkin about limit definition

anonymous · Answer

True, but if it's a piecewise defined function the x value is constrained.

user · Answer

F'(x) =(x^2)[(-4/x^2)cos(4/x)] + (2x)(sin(4/x) 

F'(0) = -4

anonymous · Answer

thanks!

thesmartone · Answer

lol Cam you looking at this too ^_^

confluxepic · Answer

lol

confluxepic · Answer

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