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anonymous

  • 5 years ago

Find the slope of the tangent line to the curve 2x^4-3x^2+sq.x-5/x^2 at point (1,-5)

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  1. amistre64
    • 5 years ago
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    is the x^2 the denominator of everything else?

  2. anonymous
    • 5 years ago
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    no just the denominator of 5

  3. amistre64
    • 5 years ago
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    ok...so the last term is 5/x^2 everything else is as is..

  4. anonymous
    • 5 years ago
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    i was thinking about rewriting it as 5x^-2, but i'm not sure

  5. anonymous
    • 5 years ago
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    correct

  6. amistre64
    • 5 years ago
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    go ahead, its all good :)

  7. anonymous
    • 5 years ago
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    ook cool

  8. amistre64
    • 5 years ago
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    8x^3 -6x +(1/2sqrt(x)) +(10/x^3) is what i get... maybe its right?

  9. anonymous
    • 5 years ago
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    yea i got 8x^3-6x+1/2x^-1/2-10x^-3, should i substitute after this?

  10. amistre64
    • 5 years ago
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    yep, but I think you only need the "x" value

  11. amistre64
    • 5 years ago
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    8 -6 + (1/2) +10

  12. anonymous
    • 5 years ago
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    yea so just substitute the x value

  13. amistre64
    • 5 years ago
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    and youve got a typo,,,that last term should be a (+); -5(-2)=10

  14. anonymous
    • 5 years ago
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    oh yea thanks

  15. amistre64
    • 5 years ago
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    I get 6 as the slope... if I did it right :)

  16. anonymous
    • 5 years ago
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    uhm i'm not sure if we're doing it right cuz the problem is actually asking me for the equation of the line

  17. amistre64
    • 5 years ago
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    the derivative is the equation of the slope of the line; or maybe it should be in y = mx+b format?

  18. anonymous
    • 5 years ago
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    yea i think that's what they mean y=mx+b format

  19. amistre64
    • 5 years ago
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    y = 6x +b at (x=1,y=-5)?? -5 = 6(1) + b -5 = 6 + (-11) y = 6x-11 then

  20. anonymous
    • 5 years ago
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    hold up, how did u get 6 as the slope, i'm up to 8-6+1/2+10

  21. amistre64
    • 5 years ago
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    f'(x) = m 8-6=2+10=12...ahhh, I see; I multiplied by 1/2

  22. amistre64
    • 5 years ago
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    12.5 happy :)

  23. anonymous
    • 5 years ago
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    ook cool

  24. anonymous
    • 5 years ago
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    lol

  25. amistre64
    • 5 years ago
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    -5 = 12.5(1) + b -5 -12.5 = b -17.5 = b y = 12.5 - 17.5...

  26. amistre64
    • 5 years ago
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    squeeze an "x" right up next to that 12.5

  27. amistre64
    • 5 years ago
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    or do they want it in Ax + By = C format?

  28. anonymous
    • 5 years ago
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    y=mx+b format

  29. amistre64
    • 5 years ago
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    you can use the line equation to figure out a new "x value" when iterating a function solve it...

  30. anonymous
    • 5 years ago
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    uhm not sure about that... does that mean that y=6x-11 is not it

  31. amistre64
    • 5 years ago
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    yeah, since i miscalculated the first time with a "6", its a bad apple...toss it out before it spoils the rest :)

  32. anonymous
    • 5 years ago
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    ook

  33. anonymous
    • 5 years ago
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    ok then it's 8-6+1/2+10=12+1/2=25/2

  34. anonymous
    • 5 years ago
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    so the slope is 25/2

  35. anonymous
    • 5 years ago
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    got it thanks :)

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