Using both the product rule and the chain rule for y(x) = (2x + 1)(x + 1) and y(x) = xe ** (a) Find the first derivative (b) What is the value of dy(x) dy(x) dx at x (c) Find the equation of the tangent line to y(x) at x = 1 (d) Find the derivative of g(x) = sin(2x - 1) and also find dg(1) dx (e) Using the quotient rule and the chain rule find the derivative of g(t) = Vat 1664