Application of Partial Derivative
1. Center of conic sections Partial Derivative
Steps:
- Find partial derivative of given function w.r.t. x taking rest of variable except x assuming constant.
- equation partial derivative of the given function as zero(0), you will get x co-ordinate of the center of conic section.
- similarly, find partial derivative of functions w.r.t. y taking rest of variable as constant and equate this to 0 to get y co-ordinate of the center of conic.
- Watch video to get explanation about partial derivative.
2. Vertex of parabola using Partial derivative
Steps:
- Find partial derivative of given function w.r.t. that variable having highest degree (2).
- Equating the answer of partial derivative, you will get x or y co-ordinate of vertex.
- Put the value you found in the equation to get another variable.
- Finally, You will get requited point.
- Watch video above for detail explanation.