- #1
ttpp1124
- 110
- 4
- Homework Statement
- can someone see if my work is right?
- Relevant Equations
- n/a
Differentiate, but do not simplify ##f(x)=5^{tan(\sqrt{ x})}##
- Thread starter ttpp1124
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- Differentiate Simplify
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SUMMARY
The discussion centers on the differentiation of the function f(x) = 5^{tan(√x)}. Participants emphasize the importance of performing calculations independently rather than relying on tools like Wolfram Alpha for homework assistance. The conversation highlights the necessity of mastering self-verification in STEM fields, where professionals must ensure their calculations are accurate to prevent critical failures in real-world applications.
PREREQUISITES- Understanding of calculus, specifically differentiation techniques.
- Familiarity with exponential functions and trigonometric identities.
- Proficiency in LaTeX for mathematical notation.
- Basic knowledge of the implications of errors in engineering and medical fields.
- Study differentiation rules for composite functions, particularly the chain rule.
- Explore the properties of exponential and trigonometric functions in calculus.
- Learn how to verify calculations and results in mathematical problem-solving.
- Investigate real-world applications of calculus in engineering and healthcare.
Students in STEM fields, educators teaching calculus, and professionals in engineering and healthcare who require accurate mathematical calculations.
- #2
BvU
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You can do it yourself -- PF isn't for stamp-approving homework 
https://www.wolframalpha.com/input/?i=(5^tan(sqrt(x)))'
(Or is that cheating ?)
Whatever, we see you master ##\LaTeX## quite well !
https://www.wolframalpha.com/input/?i=(5^tan(sqrt(x)))'
(Or is that cheating ?)
Whatever, we see you master ##\LaTeX## quite well !
- #3
DaveE
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If you continue in the STEM fields, you will find yourself with a job where you are responsible for doing correct calculations on your own. Out in the real world people don't check your work because either they don't know how (you're the expert), or they have their own work to do. The ultimate check is the bridge collapses (or not), or the patient dies (or not), or you have a really happy (or pissed off) customer.
An important skill to develop is the ability to check your own work. Step one is do the calculation, step two is convince yourself that you did it right (because we all make mistakes).
An important skill to develop is the ability to check your own work. Step one is do the calculation, step two is convince yourself that you did it right (because we all make mistakes).
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