Application of Derivatives
Find the point on the curve at which the tangent is .
Solution: Solution: Equation of the tangent is ,
Comparing it with ,
So, slope of the tangent is .
Now, equation of the curve is,
If we put , it satisfy the equation, . So, it is the required point.
If we put , it does not satisfy the equation, .
So, the required point on the curve is .