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const questions = [ { q: "1. What is the derivative of x²?", a: ["x", "2x", "x²", "2"], correct: "2x" }, { q: "2. The derivative of a constant is:", a: ["1", "0", "constant", "x"], correct: "0" }, { q: "3. If f(x) = 3x³, then f'(x) = ?", a: ["9x²", "3x²", "6x", "x³"], correct: "9x²" }, { q: "4. The derivative of sin(x) is:", a: ["cos(x)", "-cos(x)", "-sin(x)", "tan(x)"], correct: "cos(x)" }, { q: "5. d/dx (ln x) = ?", a: ["1/x", "x", "ln x", "x ln x"], correct: "1/x" }, { q: "6. If y = e^x, then dy/dx = ?", a: ["e^x", "x e^x", "e", "x"], correct: "e^x" }, { q: "7. What is d/dx (x³ + 2x² + x)?", a: ["3x² + 4x + 1", "3x + 2x + 1", "3x² + 2x", "None"], correct: "3x² + 4x + 1" }, { q: "8. The derivative of cos(x) is:", a: ["-sin(x)", "sin(x)", "cos(x)", "-cos(x)"], correct: "-sin(x)" }, { q: "9. Derivative of tan(x) is:", a: ["sec²(x)", "cosec²(x)", "sec(x)", "cot(x)"], correct: "sec²(x)" }, { q: "10. If f(x) = 1/x, then f'(x) = ?", a: ["-1/x²", "1/x²", "-x", "x²"], correct: "-1/x²" }, { q: "11. d/dx (x⁴) = ?", a: ["4x³", "x³", "3x²", "4x"], correct: "4x³" }, { q: "12. What is the derivative of √x?", a: ["1/(2√x)", "√x", "2√x", "x"], correct: "1/(2√x)" }, { q: "13. The derivative of log₁₀x is:", a: ["1/(x ln 10)", "1/x", "ln x", "log x"], correct: "1/(x ln 10)" }, { q: "14. d/dx (x⁵ + 7x) = ?", a: ["5x⁴ + 7", "x⁴ + 7", "x⁵ + 7", "35x"], correct: "5x⁴ + 7" }, { q: "15. What is d/dx (sec x)?", a: ["sec x tan x", "tan x", "cos x", "sec² x"], correct: "sec x tan x" } ];