Calculate partial derivatives of multivariable functions with step-by-step solutions and detailed explanations.
Supported: +, -, *, ^, sin, cos, tan, ln, e^x, parentheses
Use ^ for exponents (e.g., x^2 for x²)
Multiplication can be implicit (xy) or explicit (x*y)
Trigonometric functions: sin(x), cos(x), tan(x)
Exponential and logarithmic: e^x, ln(x)
Variables are treated as independent unless specified
Calculate double integrals numerically using midpoint, trapezoidal, and Simpson's rule methods with detailed step-by-step solutions
Solve linear, compound, absolute value, and quadratic inequalities with step-by-step solutions
Solve ordinary differential equations step-by-step including separable, linear, homogeneous, exact, Bernoulli, and second-order equations with detailed solutions
Calculate matrix determinants for 1×1 to 4×4 matrices with detailed step-by-step solutions using various mathematical methods