CUET UG · Mathematics / Applied Mathematics (Domain)
Continuity & Differentiability
Continuity, differentiability, derivatives of composite, implicit, inverse-trig, exponential and log functions.
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Take a full mock →Q1 · Continuity & Differentiability · EASY
If f(x) = (x² - 4)/(x - 2) for x ≠ 2 and f(2) = k, then for what value of k will f(x) be continuous at x = 2?
Q2 · Continuity & Differentiability · MEDIUM
Find dy/dx if y = log(sin x).
Q3 · Continuity & Differentiability · EASY
If y = arctan(x), then what is dy/dx?
Q4 · Continuity & Differentiability · HARD
If x³ + y³ = 3axy, find dy/dx.
Q5 · Continuity & Differentiability · MEDIUM
If f(x) = |x - 3| + |x + 2|, then f(x) is: