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Sytee

  • 2 years ago

How to solve this? A curve has an equation y=2/x^2 + 5/2 Find the equation of the tangent to the curve at point (2,3)

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  1. Decart
    • 2 years ago
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    \[\frac{ 2 }{x ^{2} }+\frac{ 5 }{ 2 }\]

  2. Sytee
    • 2 years ago
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    what did u just wrote, it became error. all of a sudden

  3. Decart
    • 2 years ago
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    is that the equation

  4. Decart
    • 2 years ago
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    do you need to take the derivative

  5. Peter14
    • 2 years ago
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    |dw:1384947669567:dw|

  6. Peter14
    • 2 years ago
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    is the equation, right?

  7. Sytee
    • 2 years ago
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    @Peter14 yes that is the equation

  8. Sytee
    • 2 years ago
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    @Decart yes,need to take the derivative , how?

  9. Decart
    • 2 years ago
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    quotient rule

  10. Sytee
    • 2 years ago
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    i get dy/dx = -4x^-3, after that what should i do?

  11. Peter14
    • 2 years ago
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    or simplify it to 2x^(-2)

  12. Decart
    • 2 years ago
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    the low times the derivative of the high - the high times the derivative of the low all divided by the low squared

  13. Peter14
    • 2 years ago
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    do you know point-slope form?

  14. Sytee
    • 2 years ago
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    no

  15. Decart
    • 2 years ago
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    once you find the derivative that gives you the slope

  16. Decart
    • 2 years ago
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    the derivative is \[\frac{ 4 }{ x ^{3} }\]

  17. Decart
    • 2 years ago
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    plug in the x to get the slope

  18. Peter14
    • 2 years ago
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    with a point (x1, y1) and a slope m the equation of a line can be written (y-y1)=m(x-x1)

  19. Sytee
    • 2 years ago
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    1/2 is m ?

  20. Decart
    • 2 years ago
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    yes

  21. Decart
    • 2 years ago
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    y-3=1/2(x-2)

  22. Decart
    • 2 years ago
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    distribute the 1/2 and then add the three

  23. Sytee
    • 2 years ago
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    i got it!!! i have another question

  24. Sytee
    • 2 years ago
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    solve the equation 3 cos 2x + 5 sinx =4 for 0 <x<360

  25. Peter14
    • 2 years ago
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    you have to simplify it first, use the identity for cos 2x

  26. Sytee
    • 2 years ago
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    how to simplify that?

  27. Peter14
    • 2 years ago
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    use the identity for cos 2x

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