Mathematics - Calculus - Differential - Derivative rules (power, product, quotient) - Differentiate These

15 problems with progressive difficulty: (1-4) Power rule: d/dx[x⁷], d/dx[4x³], d/dx[x^(-2)], d/dx[√x]. (5-7) Sum/difference: d/dx[3x⁴-x²+2], d/dx[x³+5x-1/x], d/dx[2x⁵-3x^(1/3)]. (8-10) Product rule: d/dx[x²·eˣ], d/dx[(2x+1)(x³-1)], d/dx[x·ln(x)]. (11-13) Quotient rule: d/dx[(x+1)/(x-1)], d/dx[sin(x