Implicit Differentiation And Inverse Functions

Refer to page 177 and the table of basic derivatives.  Of the five different types of functions, which ones can change "type" through differentiation.  That is, for example, the function is algebraic and after differentiation, becomes logarithmic?  Check the boxes for all function types that CAN change type.

• A.

  Logarithmic

• B.

  Inverse

• C.

  Algebraic

• D.

  Trigonometric

• E.

  Exponential

Refer to page 177 and the table of basic derivatives.  Of the five different types of functions, which ones can change "type" through differentiation.  That is, for example, the function is algebraic and after differentiation, becomes logarithmic?  Check the boxes for all function types that canNOT change type.  i.e. Which function types below will remain the same "type or "family" AFTER differentiation?

• A.

  Logarithmic

• B.

  Inverse

• C.

  Algebraic

• D.

  Trigonometric

• E.

  Exponential

Two of the five functions types change families as a result of differentiation, each of these types changes to the same family which is ________.  (no caps)