Math, asked by vaishali6780, 7 months ago

If y = x^sin x + sin^-1 √x, then find
dy/dx​

Answers

Answered by roshanmeher545
0

Answer:

7ANSWER

y=

1−x

2

xsin

−1

x

y

1−x

2

=xsin

−1

x

Differentiating both sides w.r.to x, we get

y⋅

2

1−x

2

(−2x)

+

1−x

2

dx

dy

=x⋅

1−x

2

1

+sin

−1

x

−xy+(1−x

2

)

dx

dy

=x+

1−x

2

sin

−1

x

−xy+(1−x

2

)

dx

dy

=x+

1−x

2

x

y

1−x

2

−xy+(1−x

2

)

dx

dy

=x+

x

y

(1−x

2

)

−xy+(1−x

2

)

dx

dy

=x+

x

y

−yx

(1−x

2

)

dx

dy

=x+

x

y

Step-by-step explanation:

hope it will help you

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