Part 1: The derivative at a specific point Use the definition of the derviative to compute the derivative of f(@) = vac + 5 at the specific point a = 2. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f'(2) = lim f ( 2 + h ) - f ( 2 ) = lim h-+0 h h-+0 (0)-0 Hint: use the conjugate trick. Part 2: The derivative function Use the definition of the derivative to compute the derivative of the function f(x) = va + 5 at an arbitrary point a. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f'(x) = lim f(x +h) - f(z) h-0 h = lim Hint: use the conjugate trick. Part 3: The tangent line Now let's calculate the tangent line to the function f(x) = vx + 5 at x = 7. a. By using f'(a) from part 2, the slope of the tangent line to f at x = 7 is f'(7) =]. b. The tangent line to f at x = 7 passes through the point (7, f(7)) = on the graph of f. (Enter a point in the form (2, 3) including the parentheses.) c. An equation for the tangent line to f at a = 7 is y =