Let be a differentiable function, and set the function g(x) = (x + c), where

Let ƒ be a differentiable function, and set the function g(x) = ƒ (x + c), where c is a constant. Use the limit definition to show that g'(x) = ƒ'(x + c). Explain this result graphically, recalling that the graph of g is obtained by shifting the graph of ƒ c units to the left (if c > 0) or right (if c < 0).