Functions, limits, continuity, derivatives and their applications.
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Q1 · Differential Calculus · MEDIUM
If f(x) = x^3 - 6x^2 + 9x + 15, then f(x) is strictly increasing in the interval:
Q2 · Differential Calculus · EASY
The value of lim(x→0) [sin(3x)/x] is:
Q3 · Differential Calculus · EASY
If y = x^4 + 2x^3 - 3x^2 + 5x - 7, then the derivative dy/dx at x = 1 is:
Q4 · Differential Calculus · MEDIUM
A particle moves along a straight line such that its displacement s at time t is given by s = 2t^3 - 9t^2 + 12t + 6. The velocity of the particle becomes zero at:
Q5 · Differential Calculus · MEDIUM
If f(x) = (x^2 - 4)/(x - 2) for x ≠ 2, then for f(x) to be continuous at x = 2, the value of f(2) should be defined as: