Angle Between Curves

Step 1: Find the slopes of the given curves
The given equations of the curves are: 1. 2.
Step 2: Find the derivative for the first curve
Differentiating with respect to , using implicit differentiation:
Step 3: Find the derivative for the second curve
Differentiating with respect to :
Step 4: Compute the angle between the two curves
The angle between the two curves is given by the formula: where and . Substituting these values: Simplifying, we get:
Final Answer: .