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ECAT - Practice Test - Maths - Differential Calculus Quiz

Attempt 10 MCQs on ECAT - Practice Test - Maths - Differential Calculus | Quiz 5

41. Find the derivative of f(x) = x / e^x.



42. Find the derivative of f(x) = ln(sin x).



43. Find the derivative of f(x) = tan(x²).



44. What is the derivative of f(x) = x^4?



45. Find the derivative of f(x) = x² + e^x.



46. Find the derivative of f(x) = 2x + 5.



47. What is the value of lim(x→0) (1 - cos x) / x²?



48. Find the derivative of y = x^x.



49. For f(x) = x³ - 3x, where are the local maximum and minimum?



50. What is the value of lim(x→0) (sin x - x) / x³?



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