Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Step-by-step explanation:

The equation of the curve is

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  

Then slope would accordingly be

= ∞

For, ,

Equation of tangent line, in the point slope form, would be

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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