 Fresh C.

# f(x) = 3√ x · sin x use the definition of derivative to show f(x) is differentiable at x=0

1)Why can't we use the product rule to compute f'(0)

My initial thought was that you cannot use the product rule t because sinx and 3√ x both equal 0 at x=0

2)use the definition of derivative to show f(x) is differentiable at x=0
does this mean to take the limit of of f(x+h)-f(x)/h  as h > 0- and h>0+
how would i approach this problem

By:

Fresh C.

perhaps I noted the function down wrong. i meant that f(x) = cube root of x multiplied by sinx
when graphed, there seems to be a horizontal line at x=0

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11/10/17

Mark M.

tutor
It is very difficult to edit answers   Try reposting the question (with appropriate syntax) and maybe someone will answer,
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11/10/17

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