February 28, 2017

Homework Help: Calculus

Posted by Abigail on Wednesday, February 23, 2011 at 7:29pm.

Decide if the following function f(x) is differentiable at x=0. Try zooming in on a graphing calculator, or calculating the derivative f'(0) from the definition.

f(x) = x^4sin(2/x),

if x is not equal to 0,
f(x) = 0

if x = 0.
If it is differentiable, what is the derivative? (If it isn't, enter dne.)
f'(0) = ________

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