# User:Maedls123/Mathe

From WikiEducator

# Problem

f(x)= (((cos(x)/tan(x))^{1/2})^{1/2})^{1/2}

=(cos(x)/tan(x))^{1/8}

# Solution

f´(x)= 1/8 * (cos(x)/tan(x))^{1/8 - 1} * ((-sin(x) * tan(x)+ cos(x)* 1/(cos(x))^{2}

= 1/8 * (cos(x)/tan(x))^{1/8 - 1}* ((-sin(x) * tan(x)+ 1/cos(x))