Find the Directional Derivative of the Function $f ( x , y ) = y ^ { 2 } \ln x$

question 81

Multiple Choice

Find the directional derivative of the function $f ( x , y ) = y ^ { 2 } \ln x$ at the point $( 1,2 )$ in the direction $( 3,4 )$ .

• A) \(\frac { 5 } { 16 }\)
• B)0
• C) \(\frac { 12 } { 5 }\)
• D)12
• E)1
• F) \(\frac { 16 } { 5 }\)
• G) \(\frac { 5 } { 12 }\)
• H) \(\frac { 1 } { 12 }\)

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Definitions:

Loanable Funds

The money available for borrowing in the financial markets, determined by savings and demands for investment.

Public Saving

The tax revenue that the government has left after paying for its spending.

Personal Saving

The portion of an individual's income that is not spent on consumption or taxes and is set aside for future use or investment.

Loanable Funds Curve

A graphical representation of the market for loanable funds, showing the relationship between the interest rate and the quantity of loanable funds supplied and demanded.