Differentiate √(tan x) with respect to x.
Differentiate √(tan x) with respect to x.
- A. sec²x / (2√(tan x))
- B. sec²x / √(tan x)
- C. 1 / (2√(tan x))
- D. tan x / (2sec²x)
Answer: A) sec²x / (2√(tan x))
Explanation: Using chain rule: d/dx(u^½) = ½ u^(−½) × u'. Here u = tan x, u' = sec²x. Result: sec²x / (2√(tan x)).
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