4. Consider the equation: x5 - x3y + yz - 17 =0, which implicitly defines a differentiable function: y = f (x). a. Confirm that f (2) = 5. b. Find the total differential of the equation, when (Xo, yo) = (2, 5). c. What is the total differential of f (x), when (Xo, yo) = (2, 5)? Hint: solve your answer to (b) for dy. d. What is dy/ dx x=2 = f'(2)