determine dy/dx for y= sqrt(tanx) and state any values of x for whcih the function is not differentiable
The function y= `sqrt(tanx)` . The derivative of y can be found by using the chain rule.
y' = `(1/2)(tan x)^(-1/2)*sec^2 x`
=> `1/(2*sqrt(tan x)*cos^2x)`
The derivative for y is not defined for values of x for which the value of tan x is not positive as the square root of a negative number is not a real number.