Question
Suppose that
and
are both differentiable functions of
and are related by the given
equation. Use implicit differentiation with respect to
to determine
in terms of
, and
.
equation. Use implicit differentiation with respect to
Ask by Schwartz Reed. in the United States
Nov 09,2024
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To find
using implicit differentiation, we start by differentiating the given equation
with respect to
.
Using the product rule and chain rule, we differentiate each term:
Combining these, we have:
Now, let’s isolate
:
Factor out
from the right side:
Now, divide both sides by
:
This simplifies to:
Thus, we conclude that: