Show that the function f x x 31 is not differentiable at 3

Last updated: 9/12/2023

Show that the function f x x 31 is not differentiable at 3 We have The right hand limit is f x f 3 x 3 lim X 3 f x x 3 and the left hand limit is lim f x f 3 X 3 X 3 Find a formula for f and sketch its graph f x Since these limits are not equal f 3 lim f x f 3 does not exist and f is not differentiable at 3 X 3 x 3 No Solution 2 if x 3 if x 3 4 4 a 6 2 a 3 if x 23 if x 3 2 3 4 Fill Graph Layers After you add an object to the grap can use Graph Layers to view and properties