Question

Question 16 Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): cosx / (1+sinx)

Class X1 - Maths -Limits and Derivatives Page 317

Answer 1

The Solution is explained in the attachment.


Hope this helps!

Answer 2

y = cosx / (1+sinx)
Using product rule
Differentiating w.r.t x

We get
dy/dx = (1+sinx) d/dx(cosx) - cosxd/dx(1+sinx)/(1+sinx)²
= (1+sinx)(-sinx) -cosx(cosx)/(1+sinx)²

= -sinx-sin²x - cos²x/(1+sinx)²
= -sinx -(sin²x+cos²x)/(1+sinx)²
= -sinx-1/(1+sinx)²
= -1/(1+sinx)