To find: The equation of the tangent line to the given curve at the given point.
The equation of the tangent line to the curve at is. .
The curve is .
The point is .
If and are both differentiable function, then .
The equation of the tangent line at is, (1)
where, m is the slope of the tangent line at and .
Differentiate the above equation implicitly with respect to x,
Apply the chain rule (1) and simplify the terms,
Combine the terms of ,
Therefore, the derivative of y is .
The slope of the tangent line at is computed as follows,
Substitute the values ,
Thus, the slope of the tangent line at is .
Substitute for and in equation (1),
Therefore, the equation of the tangent line to the curve at is .
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