Question

differentiate x^2/3+y^2/3
=2​

Answer 1

Answer:

Explanation:

We will differentiate implicitly. This means, that whenever we differentiate a variable that's not

x

, the chain rule will kick in. Take a look at a couple examples before starting here:

d

d

x

x

3

=

3

x

2

but

d

d

x

y

3

=

3

y

2

d

y

d

x

d

d

x

x

=

1

but

d

d

x

y

=

d

y

d

x

d

d

x

x

y

2

=

(

d

d

x

x

)

y

2

+

x

(

d

d

x

y

2

)

=

y

2

+

x

(

2

y

)

d

y

d

x

So, for