The equation of the tangent of the curve at is
Explanation for the correct answer:
Step1: Find first order derivative of given function
Given, equation of curve
On differentiating the above equation w.r.t. , we get
Step 2: Find slope of tangent at given point
The first order derivative at a given point gives the slope of the tangent to the curve at the given point
Slope of tangent at is
Step 3: Find the equation of the tangent using slope-point form of line
The equation of a line in slope-point form can be written as
where is the slope of the line and are the co-ordinates of the point
Therefore, equation of tangent to the curve passing through is
Hence, the correct answer is option (A).