Use implicit differentiation to find , assuming that y is a function of x.
Using the chain rule on the left-hand side, and the fact that the derivative of x with respect to x is 1 on the right-hand side, we find
In the following equation what is the derivative of y with respect to x?
Find the derivative of y with respect to x in the following equation
To find the derivative of xy we need to use the product rule.
Multiply both sides by xy to remove that pesky denominator, then move all the terms on one side and solve:
is also correct, since this is the result of multiplying our first answer by .
Find in the following equation.
Now move all the terms on one side, factor, and solve:
What is in the following equation?
Multiply both sides by x2 to remove the denominator:
Then move all the terms with to one side, factor, and solve:
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