Question

if sin^x (x-y)/X+y=a Shaw that du/dx=y/x​

Answer 1

Answer:Let us find  

d

2

y

d

x

2

for  

x

3

+

y

3

=

1

.

First, let us find  

d

y

d

x

.

x

3

+

y

3

=

1

by differentiating with respect to  

x

,

⇒

3

x

2

+

3

y

2

d

y

d

x

=

0

by subtracting  

3

x

2

,

⇒

3

y

2

d

y

d

x

=

−

3

x

2

by dividing by  

3

y

2

,

⇒

d

y

d

x

=

−

x

2

y

2

Now, let us find  

d

2

y

d

x

2

.

by differentiating with respect to  

x

,

⇒

d

2

y

d

x

2

=

−

2

x

⋅

y

2

−

x

2

⋅

2

y

d

y

d

x

(

y

2

)

2

=

−

2

x

(

y

2

−

x

y

d

y

d

x

)

y

4

Step-by-step explanation: