- #1
Penultimate
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Whats the fifth derivate of the function y=x lnx ?
y(5)
y(5)
The fifth derivate of the function.
- Thread starter Penultimate
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SUMMARY
The fifth derivative of the function y = x ln(x) can be calculated using the product rule, quotient rule, and chain rule of differentiation. The process involves taking the derivative five times sequentially, starting from the original function. Understanding these rules is essential for accurately computing higher-order derivatives, especially in preparation for calculus exams.
PREREQUISITES- Understanding of the product rule in calculus
- Familiarity with the quotient rule in calculus
- Knowledge of the chain rule in calculus
- Basic differentiation techniques
- Review the product rule for differentiation
- Study the quotient rule for handling fractions in derivatives
- Learn the chain rule for differentiating composite functions
- Practice calculating higher-order derivatives with various functions
Students preparing for calculus exams, educators teaching differentiation techniques, and anyone interested in mastering higher-order derivatives in mathematics.
- #2
qntty
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Show some work first and indicate where you got stuck.
- #3
ideasrule
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Not to sound too harsh, but if you can't even do a derivative as simple as xlnx, you won't do well on tomorrow's exam. Try reviewing:
(1) product rule
(2) quotient rule
(3) chain rule
Once you do so, the question you asked should be easy to solve.
(1) product rule
(2) quotient rule
(3) chain rule
Once you do so, the question you asked should be easy to solve.
- #4
tiny-tim
Science Advisor
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Penultimate said:
Hi Penultimate!
It must mean the fifth derivative, ie the derivative of the fourth derivative, ie … d/dx( d/dx( d/dx( d/dx( d/dx(xlnx))))).
How far have you got?
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