1 Write the equation of the tangent line to function f(x) at x = 1 if f(1) = 8 and f'(1) = 5 Ex Find the values of the constants a, b, and c such that the polynomial f(X) = 5X4 + bx3 + cx 1 satisfies f'(1) = 16, f'(l) = 0, and f'(2) = 38. a = 2 w b = X c = x Recal the Power Rule for differentiation, which states that %(X\") = nX" ' 1. What other rules of differentiation are necessary to compute the derivative of the given polynomial? Do the derivative statements yield a system of equations that can be solved for the values of a, b, and c