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Implicit differentiation displays extraneous x variable.

The probelm is, given y = 9x^(1/2) - 2y^(3/5), find dy/dx The answer is supposed to be dy/dx = ( 45y^(2/5) ) / ( 10x^(1/2)y^(2/5)+12x^(1/2) )

When I enter the following syntax, there is an extraneous character, (x), displayed:

y=function('y',x)
temp=diff(9*x^(1/2) - 2*y^(3/5) - y)
solve (temp,diff(y))
show(solve (temp,diff(y)))

Is it possible to display the answer without show (x)?

Implicit differentiation displays extraneous x variable.

The probelm is, given y = 9x^(1/2) - 2y^(3/5), find dy/dx The answer is supposed to be dy/dx = ( 45y^(2/5) ) / ( 10x^(1/2)y^(2/5)+12x^(1/2) )

When I enter the following syntax, there is an extraneous character, (x), displayed:

y=function('y',x)
temp=diff(9*x^(1/2) - 2*y^(3/5) - y)
solve (temp,diff(y))
show(solve (temp,diff(y)))

Is it possible to display the answer without show showing (x)?

click to hide/show revision 3
No.3 Revision

Implicit differentiation displays extraneous x variable.

The probelm problem is, given y = 9x^(1/2) 9*x^(1/2) - 2y^(3/5), 2*y^(3/5), find dy/dx The answer is supposed to be dy/dx = ( 45y^(2/5) 45*y^(2/5) ) / ( 10x^(1/2)y^(2/5)+12x^(1/2) 10*x^(1/2)*y^(2/5)+12*x^(1/2) )

When I enter the following syntax, there is an extraneous character, (x), displayed:

y=function('y',x)
temp=diff(9*x^(1/2) - 2*y^(3/5) - y)
solve (temp,diff(y))
show(solve (temp,diff(y)))

Is it possible to display the answer without showing (x)?