Use the Gradient to Find the Directional Derivative of the Function

question 72

Multiple Choice

Use the gradient to find the directional derivative of the function at P in the direction of Q. $f ( x , y ) = \sin ( 7 x ) \cos y , P ( 0,0 ) , Q \left( \frac { \pi } { 7 } , \pi \right)$

• A) \(\pi\)
• B) \(\pi ( \sin ( 7 x ) \cos y + \cos ( 7 x ) \sin y )\)
• C) \(\pi ( \cos ( 7 x ) \cos y - \sin ( 7 x ) \sin y )\)
• D) \(\frac { 1 } { \sqrt { 50 } }\)
• E) \(\frac { 7 } { \sqrt { 50 } }\)

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Definitions:

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Mental health professionals who help people identify and correct faulty or maladaptive thinking patterns and behaviors through a range of strategies aimed at changing thoughts and actions.

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