Provide an example of function f:R --> R and g:R--> R, and c is subset to R, such that g is not differentiable at c and fog is defferentiable at c.
Provide an example of function f:R --> R and g:R--> R, and c is subset to R,
such that f is not differentiable at g(c) and fog is defferentiable at c.
Provide an example of function f:R --> R and g:R--> R, and c is subset to R,
such that f+g is differentiable at c and f is not defferentiable at c.
it kind of makes me confused
actually, the second example works too, but it seems like you changing the rang of the function though, cause f and g is not an element of R anymore, it becomes {0}
so change the constant function f(x) =0 to f(x) = x
no, that is not what the example says.
we are giving two separate examples, it does not matter if the ranges differ in one example from the other.
f and g are real functions. and 0 is an element of .
f(x) = x does not work in the first example. neither would it work for the second example...