Answer to Question #165691 in Calculus for Phyroe

Question

Find the derivative of y= sinx/2+cotx

Answer 1

Find the derivative of $y=\sin{\frac{x}{2}}+\cot{x}$

Solution:

$y'=\frac12\cos{\frac {x}{2}}-\frac{1}{\sin^2{x}}$

Answer:

$y'=\cos{\frac {x}{2}}\cdot(\frac x2)'-\frac{1}{\sin^2{x}}=\frac12\cos{\frac {x}{2}}-\frac{1}{\sin^2{x}}$ .