Soru
le answer above is NOT correct. ind dy/dx by implicit differentiation. e^x^(2y)=x+y dy/dx=
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Kıdemli · 10 yıl öğretmeni
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Cevap
To find
by implicit differentiation for the equation
, follow these steps:1. Differentiate both sides of the equation with respect to
.Starting with the left side:
Using the chain rule:
Now, apply the product rule to differentiate
:
So,
Now, differentiate the right side:
Putting it all together:
2. Solve for
.First, distribute
on the left side:
Next, isolate
terms on one side:
Factor out
on the left side:
Finally, solve for
:
So, the derivative
is: