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Ques- Is it reosonable to assert that the product F(x)=f(x)g(x) has no derivative at x=xo if:
the function f(x) has dervative at point xo,and the function #(x) has no derivative at this point ?
Dear Raiyan
F(x)=f(x)g(x)
F`(x)=f`(x)g(x)+f(x)g`(x) (Using the chain rule)
at point x=x0
F`(x0)=f`(x0)g(x0)+f(x0)g`(x0)
But g`(x0) does not exist .so F`(x0) al so does not exist.
ALL THE BEst
ABhinav batra
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