Given that y = x^2 +2x + 3, find dy/dx.

We use a typical rule for polynomials in the form y = ax^b , where a and b are real numbers. Also, for a polynomial equation y = ax^b +cx^d +.... , dy/dx = d( ax^b)/dx + d(cx^d)/dx + ...With this information, we can differentiate y = x² +2x + 3 :dy/dx = d(x²)/dx + d(2x)/dx + d(3)/dx = 2x¹ + 2x⁰ + 0x^-1 = 2x + 2.