Calculus Problem Help: Tangent Line & Demand Curve Calculation

  • Thread starter lolo105
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In summary, the conversation is about someone asking for help with calculus problems, specifically finding the equation of a tangent line and solving a demand curve equation. The other person advises them to show their work and not expect others to do their homework for them.
  • #1
lolo105
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help!Calculus problems

1)Find the equation of the tangent line to f(x) = (x - 6)8 at the point where x = 7.




2)The demand curve for a product is given by
q = f(p) = 5,000e-0.30p,
where q is the quantity sold and p is the price of the product, in dollars. Find f(6) and f'(6).
 
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  • #2
I have a hunch that maybe you did not write the problem correctly.
 
  • #3
Also, nobody is going to do your homework for you, so you have to put your work down if you want help.
 
  • #4
u probably got the question wrong the given equation is linear. tangent at any point of linear equation is that line itself. plus u'll never learn if r going to have someone else do ur HW.
 
  • #5
I suspect that the first problem involved (x-6)8.

However, there is no work shown so don't expect anyone to do your work for you.
 

FAQ: Calculus Problem Help: Tangent Line & Demand Curve Calculation

What is calculus and why do I need it?

Calculus is a branch of mathematics that studies the rates of change of quantities. It is commonly used to solve problems involving motion, growth, and optimization. Calculus is essential in many fields, including physics, engineering, economics, and statistics.

What are the basic concepts in calculus?

The fundamental concepts in calculus include limits, derivatives, and integrals. Limits are used to describe the behavior of a function as the input approaches a certain value. Derivatives measure the instantaneous rate of change of a function. Integrals are used to find the area under a curve.

How do I solve a calculus problem?

To solve a calculus problem, you need to understand the concepts and techniques involved. Start by identifying what type of problem it is (e.g. finding a derivative or integral). Then, use the appropriate rules and formulas to solve the problem. Practice and familiarity with different types of problems will also help improve your problem-solving skills.

What are some common mistakes to avoid in calculus?

Some common mistakes in calculus include forgetting to apply the chain rule, not simplifying expressions fully, and making errors in algebra. It is also important to pay attention to the limits and boundaries in integration problems and to carefully differentiate between the symbols used for differentiation and integration.

Where can I find additional help with calculus problems?

There are many resources available for additional help with calculus problems. You can consult your teacher or professor, join a study group, or seek help from a tutor. There are also many online resources, such as video tutorials, practice problems, and forums where you can ask for help and clarification.

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