find an equation of the tangent line to the curve y=tan(3.14x^2/4)

Question

find an equation of the tangent line to the curve y=tan(3.14x^2/4)

 

Answer 1

Suppose you have any point (x₁ , y₁) on the curve, then the equation of the tangent line is

 

y = (dy/dx)(x - x₁) + y₁

 

where  dy/dx  is the slope of the tangent line.

Answer 2

Yes, Phillip P. is right.

 

In order to find the tangent line of a function you will need to have a point.

 

To find the tangent line of a function we will have to use the point slope point formula:

 

(y-y1)=m(x-x1)

 

where x1 and y1 is the point where you want to find the tangent line to (x1,y1)

m=slope = (take derivative of the function and plugging in x1 to solve for m slope)

 

Once you find the m and if you have a point then you can now solve for y itself and thus solve for your tangent line.