Hello people,
This question just doesnt help me at all!
4x^4 + 8xy - 16y = 14
using implicit differentiation,
I had (y+2x^2) / (x-2)
but the answer was different!!!
Help me out please with steps and explain.
Thank you so much!!!!!!
Hello people,
This question just doesnt help me at all!
4x^4 + 8xy - 16y = 14
using implicit differentiation,
I had (y+2x^2) / (x-2)
but the answer was different!!!
Help me out please with steps and explain.
Thank you so much!!!!!!
If a function is defined in implicit form...
$\displaystyle f(x,y)=0$ (1)
... then is...
$\displaystyle y^{'} = -\frac{f_{x}^{'} (x,y)}{f_{y}^{'} (x,y)}$ (2)
In your case is...
$\displaystyle f(x,y)= 4x^{4} + 8xy -16y -14$
$\displaystyle f_{x}^{'} (x,y) = 16x^{3} + 8y$
$\displaystyle f_{y}^{'} (x,y) = 8x - 16$ (3)
... so that...
$\displaystyle y^{'} = - \frac{2x^{3} + y}{x-2}$ (4)
Kind regards
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