NDA Maths Mock Test – 01

Question: If y = ex2 sin 2x, then what is (dy)/(dx) at x = π equal to? If y =

Question: Consider the function f(x) = 3×4 – 20×3 – 12×2 + 288x + 1. In which one of the

Question: If y = f(x), p = (dy)/(dx) and q = (d2y)/(dx2), then what is (d2x)/(dy2) equal to? If y

Question: Let f : R to R be a function, such that, f(x) = x3 + x2 f'(1) + x

Question: If y = (x√x2 – 16)/(2) – 8 log|x + √x2 – 16|, then what is (dy)/(dx) equal to?

Question: If f(x) = loga(loga x), then f'(x) is equal to If f(x) = loga(loga x), then f'(x) is equal

Question: Options: ab f(x) 1 + ab 1 + ab f(x) ab ab f(x) 1 + ab 1 + ab

Question: Options: 1/16 1/(8√2) 1/8 1/(16√2) 1/16 1/(8√2) 1/8 1/(16√2) Correct Answer: d) Explanation: 1/(16√2) 1/(16√2)

Question: Consider the following statements in respect of f(x) = |x| – 1 1. f(x) is continuous at x =

Question: Options: Limit does not exist 0 1 -1 Limit does not exist 0 1 -1 Correct Answer: a) Explanation: