Questions from General Calculus

Q: Describe the difference between the explicit form of a function and an

Describe the difference between the explicit form of a function and an implicit equation. Give an example of each.

Q: In your own words, state the guidelines for implicit differentiation.

In your own words, state the guidelines for implicit differentiation.

Q: Explain when you have to use implicit differentiation to find a derivative

Explain when you have to use implicit differentiation to find a derivative.

Q: Find the derivative of the function. /

Find the derivative of the function.

Q: How is the Chain Rule applied when finding dy/dx implicitly

How is the Chain Rule applied when finding dy/dx implicitly?

Q: x2 + y2 = 9 Find dy/dx by implicit

x2 + y2 = 9 Find dy/dx by implicit differentiation.

Q: x2 - y2 = 25 Find dy/dx by implicit

x2 - y2 = 25 Find dy/dx by implicit differentiation.

Q: x5 + y5 = 16 Find dy/dx by implicit

x5 + y5 = 16 Find dy/dx by implicit differentiation.

Q: 2x2 + 3y3 = 64 Find dy/dx by implicit

2x2 + 3y3 = 64 Find dy/dx by implicit differentiation.

Q: x3 – xy + y2 = 7 Find dy/dx

x3 – xy + y2 = 7 Find dy/dx by implicit differentiation.