Differentiate the following function w.r.t. x:
y =
Now y = u + v
Taking logarithms on both sides, we have,
log u = x log ( sin x )
Differentiating with respect to x, we have,
From (i), (ii) and (iii)
We get,
Prove that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {(a, b): |a - b| is even}, is an equivalence relation.
Using matrices, solve the following system of equations:
2x – 3y + 5 = 11
3x + 2y – 4z = -5
x + y – 2z= -3