# Differentiate the function √(1+cotx) w.r.t. x.

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### 1 Answer

The function ` y = sqrt(1 + cot x)` has to be differentiated with respect to x.

`dy/dx = (1/2)*(1/sqrt(1 + cot x))*(-cosec^2x)`

=> `(-cosec^2x)/(2*sqrt(1 + cot x))`

**The derivative of `y = sqrt(1 + cot x)` is **`y' = (-cosec^2x)/(2*sqrt(1 + cot x))`