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anonymous

  • 5 years ago

find the equation of the tangent line to y=x^2+3x from point 0,-1 show your work

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  1. amistre64
    • 5 years ago
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    what y'?

  2. amistre64
    • 5 years ago
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    the slope of the tangent line is equal to the derivative of "y"

  3. amistre64
    • 5 years ago
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    once we know the slope, the rest is natural

  4. anonymous
    • 5 years ago
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    that's all

  5. anonymous
    • 5 years ago
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    there's nothing more

  6. amistre64
    • 5 years ago
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    then we should find the derivative of y.

  7. anonymous
    • 5 years ago
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    how do you do that?

  8. anonymous
    • 5 years ago
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    could you teach me how?

  9. amistre64
    • 5 years ago
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    practice makes perfect; the question suggests that you should be familiar with the derivative in some way; i can go thru some simple shortcuts for you

  10. amistre64
    • 5 years ago
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    but to teach you derivatives is beyond the scope of this environment

  11. anonymous
    • 5 years ago
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    alright

  12. amistre64
    • 5 years ago
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    y=x^2+3x the derivative of a sum is the sum of the derivatives y' = x^2' + 3x'

  13. amistre64
    • 5 years ago
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    the derivative of x^n = nx^{n-1} for example: x^5 = 5x^4

  14. amistre64
    • 5 years ago
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    from this, what would you deduce is the derivative of x^2?

  15. anonymous
    • 5 years ago
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    what you just explained made no sense to me

  16. anonymous
    • 5 years ago
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    but don't worry about it

  17. anonymous
    • 5 years ago
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    im not at the level math u r

  18. amistre64
    • 5 years ago
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    you taking calculus yet?

  19. anonymous
    • 5 years ago
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    nope

  20. amistre64
    • 5 years ago
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    thats where you learn about derivatives :)

  21. anonymous
    • 5 years ago
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    :)

  22. amistre64
    • 5 years ago
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    at any rate; if you knew the derivative got us to 2x+3; this would tell us the equation of the slope at any given point on our line

  23. amistre64
    • 5 years ago
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    at x=0 this slope = 3

  24. amistre64
    • 5 years ago
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    given a slope and a point we can construct a line: y = mx -mPx + Py y = 3x -3(0) +-1 y = 3x -1 looks to be it

  25. amistre64
    • 5 years ago
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    good luck with it :)

  26. anonymous
    • 5 years ago
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    ok, thanks

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