Please answer ASAP with explanation.
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EXPLANATION.
⇒ d/dx (√tan2x).
As we know that,
⇒ y = √tan2x.
⇒ dy/dx = 1/2√tan2x x d/dx(tan2x).
⇒ dy/dx = 1/2√tan2x x sec²(2x) x 2.
⇒ dy/dx = sec²(2x)/√tan2x.
Option [D] is correct answer.
MORE INFORMATION.
(1) = d/dx(sin x) = cos x.
(2) = d/dx(cos x) = - sin x.
(3) = d/dx(tan x) = sec²x.
(4) = d/dx(cot x) = - cosec²x.
(5) = d/dx(sec x) = sec x tan x.
(6) = d/dx(cosec x) = - cosec x cot x.
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