Question Detail

First, rewrite the function using negative exponents: y = x² + x⁻².Now, apply the power rule for differentiation (d/dx(xn) = nxn-1) to each term:dy/dx = d/dx(x²) + d/dx(x⁻²)dy/dx = 2x2-1 + (-2)x-2-1dy/dx = 2x + (-2)x⁻³dy/dx = 2x - 2/x³This matches option C.