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know product rule, power rule, constant rule, and chain rule?

or if you want to make this really easy take the 5th root of both sides

if you know all the three rules mentioned by freckles then you can easily solve it :)

if you take the fifth root the equation would be : xy=2

slope : \(\Large \frac{dy}{dx}\)

Can one of you walk me through this ? Step by step ?

equation of tangent : \[\rm y-y_{1}=\frac{ dy }{ dx }(x-x_{1})\]

What about the derivative ?

you need to apply the rules (or at least some) to differentiate xy=2

xy is a product
so you would use the product rule to differentiate xy

2 is a constant
the constant rule says derivative of a constant is 0

(xy)'=0
can you apply the product rule to find (xy)'

What about the derivative ?

to differentiate is to find the derivative

(xy)' means find the derivative of the product of x and y

do you know how to find the derivative of the product of x and y

do you know the product rule?

Yes I know the product rule ..

so apply the product rule to find (xy)'

yep :)
you may have a look at that

good then go for it
apply the product rule

Okay thank you !

All the best