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  1. ttpp1124

    Find the local extrema then classify them

    Thank you for the suggestion
  2. ttpp1124

    Find the local extrema then classify them

    So this is a very long answer for a question worth 4 marks. Would it be a good idea to keep the explanation, or to have it strictly math only?
  3. ttpp1124

    Solving for the speed of volume

    Is this correct?
  4. ttpp1124

    Determine what happens to the rate of change of the population over time

    So you'll have lim t---> infinite , the function in the denominator will grow faster, so as t grows, P'(x) approaches zero. I believe another way to see this is to note that for t---> inf, P(x)---> 24, therefore reaching a constant value, with zero rate of change. My rate would be zero, right?
  5. ttpp1124

    Determine what happens to the rate of change of the population over time

  6. ttpp1124

    Determine the equation of the tangent line to the function given

    sorry, I realized I made an error in my math upon determining the equation. It would be ##y=2x-\frac{3\pi }{2}##.
  7. ttpp1124

    Determine the equation of the tangent line to the function given

    sorry for the late follow-up, I checked my work again, and my slope is 2. My b value, upon calculation, is ##-3\pi ##. Would my final equation be ##y=2x-3\pi##?
  8. ttpp1124

    Determining the time at which concentration begins to decrease

  9. ttpp1124

    Differentiate, but do not simplify: ##y=3ln(4-x+5x^2)##

    please excuse me horrible writing, it's supposed to be a 4
  10. ttpp1124

    Differentiate, but do not simplify ##f(x)=5^{tan(\sqrt{ x})}##

  11. ttpp1124

    Differentiate, but do not simplify: ##y=3ln(4-x+5x^2)##

  12. ttpp1124

    Differentiate, but do not simplify: f(x)=sin(cos(x^2))

  13. ttpp1124

    Tips for Creating a Healthy Work Environment

  14. ttpp1124

    Find the rate at which the concentration is changing after 2 hours

  15. ttpp1124

    Differentiate, but do not simplify: f(x)=cos(x)/x

  16. ttpp1124

    What is the point on the curve y = 2-e^x+4x at which the tangent line is parallel to the line 2x+y=5?

  17. ttpp1124

    Differentiate, but do not simplify: f(x)=√3cos(x)-e^-2x

  18. ttpp1124

    Differentiate and simplify: f(x) = (sinx)(e^-2x)

  19. ttpp1124

    Differentiate, but do not simplify: 5^xx^5

  20. ttpp1124

    Differentiate and simplify: f(x) = x^2(2^-3x)

  21. ttpp1124

    Differentiate and simplify: f(x)=sin^2(2x)-cos^2(2x)

    yes, sorry, I forgot to include the question! here it is:
  22. ttpp1124

    Differentiate and simplify: f(x)=sin^2(2x)-cos^2(2x)

  23. ttpp1124

    Determine the point on the given curve

    So I'd leave my final answer as (0.693,2.772)?
  24. ttpp1124

    Determine the point on the given curve

  25. ttpp1124

    At what point(s) on the given curve is the tangent line horizontal?

    It's always relieving and reassuring when I get a heads up from brilliant tutors online :) Thank you!
  26. ttpp1124

    Proving trig identities

  27. ttpp1124

    At what point(s) on the given curve is the tangent line horizontal?

  28. ttpp1124

    Solving for f',f'',f''' and determining a general formula

  29. ttpp1124

    Determine the equation of the tangent line to the function given

  30. ttpp1124

    Determine the exact value of the slope of the tangent line

  31. ttpp1124

    Finding the slope using the method of First Principles

    The end is cut off a bit, my apologies; I think this is better. What do you think?
  32. ttpp1124

    Differentiate (answers not to be simplified)

    Thank you for reviewing my work. I'm sorry for cramming the questions together, will submit separate questions next time!
  33. ttpp1124

    Differentiate (answers not to be simplified)

    Thank you in advance :)
  34. ttpp1124

    Differentiate 𝑦 = (2𝑥^3 − 5𝑥 + 1)^20(3𝑥 − 5)^10

    sorry for the late reply, but I think I got it..?
  35. ttpp1124

    Finding the slope using the method of First Principles

  36. ttpp1124

    Finding the meaning of a limit using a graph

  37. ttpp1124

    Given y=u^2-1/2u+1 and u=-2x^3+3x, find dy/dx

  38. ttpp1124

    Differentiate y=2/x^3-4x^5+x^pi-4x+1

  39. ttpp1124

    Find f'(1) if f(x)=√x+1/x+2

  40. ttpp1124

    Differentiating y = (x -1)^3 (5√2x^2 -1)

  41. ttpp1124

    Differentiate x^2-(3x+1)/(x+2)

    Is this correct?
  42. ttpp1124

    Calculus and Vectors - Limits and Derivatives

    if someone can concur that'd be great; also, is there any way for me to check myself in the future?
  43. ttpp1124

    Finding the nth derivative of f(x) = x/(x+1)

    Did I calculate this properly?
  44. ttpp1124

    Finding tangent lines for 𝑓(𝑥) = 𝑥^3 − 𝑥 + 6

    sorry, here's the upright version!
  45. ttpp1124

    Is This the Right Way to Do It?

    whoops, I believe this is better..?
  46. ttpp1124

    Is This the Right Way to Do It?

    Is this correct?
  47. ttpp1124

    Calculus and Vectors - Limits and Derivatives

    whoops, it's supposed to be 65/k. Thank you!
  48. ttpp1124

    Differentiate 𝑦 = (2𝑥^3 − 5𝑥 + 1)^20(3𝑥 − 5)^10

    I guess I will leave it as it is then.
  49. ttpp1124

    Differentiate 𝑦 = (2𝑥^3 − 5𝑥 + 1)^20(3𝑥 − 5)^10

    wow, this question can really be solved in one step like that?
  50. ttpp1124

    Calculus and Vectors - Limits and Derivatives

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