Question

if y=cot−1(1-x/2+x) w. r. t. x, then dy/dx is​

Answer 1

Answer:

Correct option is

A

1+x

2

1

+

1+(x−1)

2

1

dx

d

[cot

−1

(1+x

2

−x)]

Let u=1+x

2

−x⇒dx=2x−1

=

du

d

(cot

−1

(u))

dx

d

(1+x

2

−x)...(1)

∵

du

d

(cot

−1

(u))=

u

2

+1

−1

&

dx

d

(1+x

2

−x)=2x−1

putting these values in eq

n

(1)

=(

u

2

+1

−1

)(2x−1)

=(

(1+x

2

−x)

2

+1

−1

)(2x−1)

=

x

4

−2x

3

+3x

2

−2x+2

−(2x−1)

Answer

Answer 2

Answer:

this is the answer

Step-by-step explanation:

I hope it will help you