Question

If y = √sin(√x) ,then find dy/dx

Answer 1

dy/dx=1/4*[cos(√x)/√sin(√x)(√x)]

1. Let th given equation is y=√sin(√x).

2. Now differentiate on both sides with

respect to x.

3. dy/dx=1/(2√sin(√x)) *d/dx (sin(√x))

4. dy/dx=  

           1/(2√sin(√x))*cos(√x)d/dx(√x)

5. dy/dx=1/(2√sin(√x))*cos(√x)1/2√x

6. dy/dx=1/4*[cos(√x)/√sin(√x)(√x)]