Implicit Differentiation: Using Calculus to Find Turning Points

#calculus #implicit #differentiation
Implicit Differentiation: Using Calculus to Find Turning Points
An exam question example of how you can use implicit differentiation techniques to solve mathematical problems.
Other fantastic resources on this topic include;
Paul's Maths Notes - Inverse Functions: tutorial.math....
Paul's Maths Notes - Implicit Differentiation: tutorial.math....
This question was taken from WACE 2021 Specialist Mathematics Examination: senior-seconda...
Example of locating the coordinates of the two turning points on a cubic function. Found by setting f'(x)=0 or dy/dx=0
When I find the quadratic function that results from taking the derivative I will then factorize it so I can use the Null Factor Law to find the x-values that make the derivative equal to zero. however, the quadratic formula would be an adequate alternative solution.
Hope it helps :)
My social pages:
My Instagram Account: / harrywalden
My KZbin Channel: / haroldwalden
My Facebook Page: / claremont.tuition
My LinkedIn Page: / haroldwalden