Question

what will be its answer​

Answer 1

Answer:

The answer is y= -1/1+x^2

Step-by-step explanation:

y= cot^-1 (x)

coty= x

-cosec^2(y) dy/dx = 1

dy/dx = -1/cosec^2(y)

dy/dx = -1/1+cot^2(y) [ using trigonometry identify]

1+cot^2(theta) =cosec^2(theta)

dy/dx = -1/1+x^2 using line 2

coty= x

The trick for this derivative is to use an identity that allows you to substitute x back in for y because you don't want leave the derivative as an implicit function; substituting x back in will make the derivative an explicit function.