- #1
ttpp1124
- 110
- 4
- Homework Statement
- Find the value of 𝒃 if the graph of y = b/x^2 has its tangent line defined by 𝒃𝑥 − 4𝑦 + 21 = 0.
- Relevant Equations
- n/a
Is this correct?
Is This the Right Way to Do It?
- Thread starter ttpp1124
- Start date
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SUMMARY
The discussion centers on the mathematical problem of finding the value of 𝒃 in the equation y = b/x², given the tangent line defined by the equation 𝒃𝑥 − 4𝑦 + 21 = 0. Initial attempts to solve the problem were incorrect due to the use of an improper equation for the curve. After clarification, the correct approach was confirmed, leading to a satisfactory solution that allows for proper evaluation of any mistakes in the process.
PREREQUISITES- Understanding of calculus, specifically tangent lines and derivatives.
- Familiarity with algebraic manipulation of equations.
- Knowledge of graphing functions and interpreting their properties.
- Basic skills in solving linear equations.
- Study the concept of derivatives to understand tangent lines better.
- Learn how to derive equations of tangent lines for different functions.
- Practice solving problems involving curves and their tangents.
- Explore graphing software tools to visualize functions and their tangent lines.
Students studying calculus, mathematics educators, and anyone interested in improving their problem-solving skills in algebra and calculus.
Is this correct?
- #2
ehild
Science Advisor
Homework Helper
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No. You used a wrong equation for the curve.ttpp1124 said:
- #3
ttpp1124
- 110
- 4
ehild said:
whoops, I believe this is better..?
- #4
ehild
Science Advisor
Homework Helper
- 15,536
- 1,917
Much better! It is perfect!ttpp1124 said:
If you type in a solution , I can read properly, and in case it was not correct, I can show the mistake.
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