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mathcalculus

  • 2 years ago

Help: Find the slope of the tangent line to the curve (attached below)

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  1. mathcalculus
    • 2 years ago
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  2. mathcalculus
    • 2 years ago
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    I'm a little confused, where do i know to put d/dx and when to directly do the derivative..

  3. pgpilot326
    • 2 years ago
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    use implicit differentiation to find dy/dx and exaluate at the given point.

  4. mathcalculus
    • 2 years ago
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    i did, but thats where im confused... it's like i can take the derivative of -3x^2 but then should i put d/dx next to it... or just simply leave it -6x

  5. mathcalculus
    • 2 years ago
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    im getting mixed up.

  6. mathcalculus
    • 2 years ago
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    then also 3xy... derivative or not... i know i have to put d/dx

  7. pgpilot326
    • 2 years ago
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    if it's a function of x then take the derivative of the function and multiply by its differential, dx. Same with y. example. for x^2 you'd get 2x*dx, for y^2 you'd get 2y*dy

  8. pgpilot326
    • 2 years ago
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    for xy, use the product rule. y*dx + x*dy

  9. mathcalculus
    • 2 years ago
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    right, okay. let me try again

  10. mathcalculus
    • 2 years ago
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    so first it would be -6x*d/dx right?

  11. pgpilot326
    • 2 years ago
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    no... just -6x*dx

  12. mathcalculus
    • 2 years ago
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    and what about the 3 do i leave it out? and use product rule with xy?

  13. mathcalculus
    • 2 years ago
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    ok....

  14. pgpilot326
    • 2 years ago
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    3 is a constant so it oges along for the ride. also, d/dx is an operator. it says to take the derivative of whatever follows wrt x.

  15. pgpilot326
    • 2 years ago
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    goes

  16. mathcalculus
    • 2 years ago
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    with respect to x..

  17. mathcalculus
    • 2 years ago
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    i dont know ive been using d/dx whenever i see an x and dy/dx for a y

  18. pgpilot326
    • 2 years ago
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    dx is the differential of x... the change in x, if you will

  19. pgpilot326
    • 2 years ago
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    you could do dx/dx everytime you take a derivative of a function of x and dy/dx for a function of y... that's okay. but dx/dx is just 1.

  20. mathcalculus
    • 2 years ago
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    ok yes:) now we're on the same pg

  21. mathcalculus
    • 2 years ago
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    for the middle part, is it, 3x*dx/dx+y*dy/dy?

  22. pgpilot326
    • 2 years ago
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    3y*dx/dx+3x*dy/dx

  23. pgpilot326
    • 2 years ago
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    = 3y + 3x*dy/dx

  24. mathcalculus
    • 2 years ago
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    oh+|

  25. pgpilot326
    • 2 years ago
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    i 've got to go... so you can at least check... you should get 3 as the final answer. Good luck!

  26. mathcalculus
    • 2 years ago
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    thank you, i appreciate it.

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