1)

Use the function below to answer parts (a)-(c). f ( x ) = x +4 (a) Use the formal definition to find the derivative of y = f(x) at x = 1. (b) Find f(1) and find the equation of the tangent line at the point (1, f(1)). (c) Graph y = f(x) and the tangent line at the point (1, f(1)) in the same coordinate system. (a) The derivative of a function f at x, denoted by f'(x), is f'(x) = lim f( x + h) - f(x) provided that the limit exists. Use the definition of the derivative of f at x to find the derivative of the given function f(x) h -0 h when x = 1. f' (1) = lim 1 1-[(1)2 +4] h-0 hDifferentiate the function with respect to the independent variable. 7 h(t)= Et2 - SH 8 W) = D