Find the equation of the tangent line to the curve at the given point? y = x cot(x) at the point with x-coordinate= π/4

The equation of the tangent line

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

Step(ii):-

The slope of the tangent line

We will use trigonometry formulas

Now the slope of the tangent

Step(iii):-

Given

Substitute in y = x cot (x)

The point of the tangent line  

The equation of the tangent line

bottom left

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.

hope this !

0 is its x and y coordinate