Question
Asked Oct 13, 2019
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(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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(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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Expert Answer

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Step 1

a). Given,

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xx 20

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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

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dy dy х- 2у. 2х +1-у+— 0 dy (х- 2у)--2х-у dx dy -2х — у х — 2у Tm Tm

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Step 3

Now the slope of the tangent ...

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-2х - у —0 х — 2у >-2х — у %3D 0 —у%3-2х

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Tagged in

Math

Calculus

Derivative