Calculate if
To calculate the derivative of the given equation where y is not explicitly defined in terms of x, we will need to X2bEjAs8z/WQs44Ekxq9cxhR+RhnbBnQbZZeAY2uIRpyay/Lx0W4Y03eJcb2gl1u2XV9ULbSu3olJc/sD5/bH1jLxuX+V7Lqupz/RQ==.
Using implicit differentiation, we treat x and y independently while differentiating both sides of the equation with respect to x.
Since y depends on x, the derivative with respect to x of an expression in y will require the h7vOfFiWAeyu3ttnaeDRK1OUdgNbmbP4Lhx/LxuUioUWw1Zk rule.
Implicitly take the derivative with respect to x of the right-hand side of the equation, . Use the chain rule and the sum rule where appropriate.
, O17iMtiT3SUWPtKHko87jaAClVNbtirQ
, BjwzY9TU5Doo0D1Wvr1+FOJFRIR4mSuu
NjUOTmdD8hA= qyAO61S1bik=
Implicitly take the derivative with respect to x of the left-hand side of the equation,. Use the chain rule and the product rule where appropriate.
, HKeXBnh/Cu9apmShtZb8UWBwJCywBhtjaEKGNg==
, PsmUvuVWtmNnWnNjwnfw9Muuhhyfya1OnCmXog==
pdlFLKGakEU= 2 XvVM00l89Is=
Substitute appropriately and to complete the implicit differentiation.
pdlFLKGakEU= 2 qyAO61S1bik=
NjUOTmdD8hA=
Solve for to calculate the derivative of y with respect to x of .
a = NjUOTmdD8hA=, b = XvVM00l89Is=, c = qyAO61S1bik=