All Calculus 3 Resources
Example Questions
Example Question #1 :Multi Variable Chain Rule
Computefor,,.
All we need to do is use the formula for multivariable chain rule.
When we put this all together, we get.
Example Question #2 :Multi Variable Chain Rule
Evaluatein terms ofand/orif,,, and.
Expand the equation for chain rule.
Evaluate each partial derivative.
,
,
,
Substitute the terms in the equation.
Substitute.
The answer is:
Example Question #1 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem
Example Question #4 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem
Example Question #5 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem
Example Question #6 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem
Example Question #7 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem
Example Question #8 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem
Example Question #9 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem,
Example Question #10 :Multi Variable Chain Rule
Use the chain rule to findwhen,,.
The chain rule states.
Sinceandare both functions of,must be found using the chain rule.
In this problem,
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