Suppose that f is a function given as f(x) = 7x + 3. We will compute the derivative of f at x = 5 as follows. First, we will compute and simplify the expression f(5 + h). f(5 + h) = Then we compute and simplify the difference quotient between x = 5 and x = 5+h. f(5 +h)-f(5) h The derivative of the function at x = 5 is the limit of the difference quotient as h approaches zero. f(5 +h)-f(5) h f'(5) = lim h0 11