minimal entity page
jim, f(x
[jim, f(x|jim, f(x] mechanism computes the derivative at a point by evaluating the limit of [f(x)-f(a)]/(x-a), which simplifies to f'(a) through algebraic manipulation.
Mechanism
jim, f(x mechanism computes the derivative at a point by evaluating the limit of [f(x)-f(a)]/(x-a), which simplifies to f'(a) through algebraic manipulation.
Causes
jim, f(x This observation leads us to believe that continuity does not imply differentiability.
Effects
jim, f(x affects continuity without ensuring differentiability, as this observation leads to believing that continuity does not imply differentiability.