Exponential Function Desmos - 搜索视频

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SOLVED:Let f be a function defined for all x. Suppose f has the following properties: f(u+v)=f(u) f(v) f(0)=1 f^'(0) exists (a) Show that f^'(x) exists for all real numbers x. (b) Show that f^'(x)=f^'(0) f(x).

SOLVED:Let f be a function defined for all x. Suppose f has the following properties: f(u+v)=f(u) f(v) f(0)=1 f^'(0) exists (a) Show that f^'(x) exists for all real numbers x. (b) Show that f^'(x)=f^'(0) f(x).

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