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Fresh C.

asked • 11/10/17

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

this question had several parts 
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
 

1 Expert Answer

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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