- #1
oswald
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Homework Statement
Find y'
Homework Equations
The Attempt at a Solution
My solution:
it's correct?
Last edited:
Implicit differentiation is a mathematical technique used to find the derivative of an equation that is not written in the form of y = f(x). It is commonly used when an equation has both x and y terms and cannot be easily solved for y.
To perform implicit differentiation, you must first identify the terms in the equation that contain both x and y. Then, you will take the derivative of each term with respect to x. Any terms with y must also be multiplied by dy/dx. Finally, you can solve for dy/dx to find the derivative.
Implicit differentiation is useful because it allows us to find the derivative of equations that cannot be solved for y. It is also helpful when dealing with implicit functions, where the relationship between x and y is not explicitly defined.
You should use implicit differentiation when you have an equation that contains both x and y terms and cannot be easily solved for y. This is often the case with implicit functions or when the equation is written in a non-standard form.
No, implicit differentiation can only be used for equations that have both x and y terms. It cannot be used for equations that only contain x or only contain y. Additionally, some equations may be too complex to differentiate implicitly, in which case other methods may need to be used.