Q13 of 354 Page 11

If y = sin^–1 x + cos^–1 x, find .

We know that

So, here y = sin^–1 x + cos^–1 x

which is a constant.

Also, sin^-1 x and cos^-1 x exist only when -1 x 1

So, when x [-1, 1] and does not exist for all other values of x.

If f(0) = f(1) = 0, f’(1) = 2 and y = f(e^x) e^f(x), write the value of at x = 0.

If y = x|x|, find for x < 0.

If x = a(θ + sin θ), y = a (1 + cos θ), find .

If and find .

If y = sin–1 x + cos–1 x, find .