Math, asked by monimithu9999, 7 days ago

find dy/dx for y= tan^-1(√1+x^2-x)​

Answers

Answered by mcchaturvedi98933891
1

Answer:

If y=tan

−1

[

x

1+x

2

−1

] prove that

dx

dy

=

2(1+x

2

)

1

Answer

We have,

y=tan

−1

(

x

1+x

2

−1

)

Let,x=tanθv=tan

−1

x

y=tan

−1

(

tanθ

secθ−1

)

y=tan

−1

(

sinθ

1−cosθ

)

y=tan

−1

(tan

2

θ

)=

2

θ

y=

2

tan

−1

x

dx

dy

=

2(1+x

2

)

1

Step-by-step explanation:

Hope it will help

Answered by ay8076191
0

Step-by-step explanation:

hlo mate here's your answer

Answer

We have,

y=tan

−1

(

x

1+x

2

−1

)

Let,x=tanθv=tan

−1

x

y=tan

−1

(

tanθ

secθ−1

)

y=tan

−1

(

sinθ

1−cosθ

)

y=tan

−1

(tan

2

θ

)=

2

i hope its help you mark as brainlist plz

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