Question

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

Answer 1

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Question

Bookmark

If y=cot

−1

(1+x

2

−x), then

dx

dy

=

Medium

Solution

verified

Verified by Toppr

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

solution