# (a) Use implicit differentiation to find all points on the curve where the tangent line is horizontal.2+xy-2-20.(b) Find the derivative of the function g(x) = arcsin (e)

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60 views help_outlineImage Transcriptionclose(a) Use implicit differentiation to find all points on the curve where the tangent line is horizontal. 2+xy-2-20. (b) Find the derivative of the function g(x) = arcsin (e) fullscreen
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Step 1

a). Given,

Step 2

Tangent line is horizontal if the slope of the tangent line is zero and slope of the tangent is the derivative of the given curve.

So differentiating the given function with respect to x, we get help_outlineImage Transcriptionclosedy dy х- 2у. 2х +1-у+— 0 dy (х- 2у)--2х-у dx dy -2х — у х — 2у Tm Tm fullscreen
Step 3

Now the slope of the tangent ...

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### Derivative 