Implicit Differentiation - Used in cases where it is impossible to solve for “y” as an explicit function of “x”

Implicit Differentiation

- Used in cases where it is impossible to solve for “y” as an explicit function of “x”







OK, here is how I like to attack these :


OK, here is how I like to attack these : - get your x’s and number together and take the derivative





- get the y’s together and take the derivative



- get the y’s together and take the derivative






this is the derivative



Let’s get it in standard form :





- get your x’s and number together and take the derivative



- get your y’s together and take the derivative











- This is your derivative






- Use a and b again like we did with complex functions and the product rule…



















- When you can, you should simplify as far as possible…












- again, you should simplify as far as possible…


Now substitute your ( - 5 , 17 ) into your derivative to find the slope of the tangent line…

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Implicit Differentiation - Used in cases where it is impossible to solve for “y” as an explicit function of “x”