If y = √(tanx + √(tanx + √(tanx + ... to ∞))) , Prove that dy/dx = sec²x/2y - 1

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If y = √(tanx + √(tanx + √(tanx + ... to ∞))) , Prove that dy/dx = sec^2x/2y - 1
If Y = √ Tan X + √ Tan X + √ Tan X + . . T O ∞ , Prove that D Y D X = Sec 2 X 2 Y − 1 ?
If y = √tanx+√tanx+√tanx+...to∞, prove that dy/dx = sec^2x/(2y - 1)
If y = root tanx+root tanx+root tanx+... to ∞, Prove that dy/dx = sec2x/(2y - 1)dy/dx = sec^2x/2y-1
#math #calculus
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Helped a lot at the last moment, TY ❤

asciah