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Class 11th Home work – 31 jan. 2021, 1.Find the derivative of the function x2cos x., 2.Find the positive integer “n” so that limx → 3[(xn– 3n)/(x – 3)] = 108, 3.Find the derivative of f(x) = x3 using the first principle, 4.Determine the derivative of cosx/(1+sin x)., 5.Evaluate the derivative of f(x) = sin2x using Leibnitz product rule., 6. Evaluate the derivative of 99x at x=100, 7. Find the derivative of the following trigonometric functions:, (i) 2 tan x – 7 sec x, (ii) sin x cos x, (iii) 5 sec x + 4 cos x, 8. Differentiate the function: cos (x2+1)., 9. Differentiate x2 sin x + cos 2 x., 10. Differentiate (2x – 7)2 (3x+5)3.