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groom_03
groom_03 asked in Science & MathematicsMathematics · 1 decade ago

really stuck differentiating this equation?

y=-(a/x)^7+(b/x)^13

a and b =10^-10

need dy/dx

2 Answers

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  • Raj K
    Lv 7
    1 decade ago
    Favorite Answer

    y=-(a/x)^7+(b/x)^13

    → y=-(a)^7×x^−7+b^13×x^−13

    → dy/dx=-(a)^7×(−7)x^−8+b^13×(−13)x^−14

    dy/dx= 7(a^7/x^8) −13(b^13/x^14)

    whatever may be 'a' an 'b' so long these are constants

  • James M
    1 decade ago

    You just need to do a little algebraic manipulation to make it a little easier:

    -(a/x)^7 = -a^7 * x^-7 and (b/x)^13 = b^13 * x^-13

    so y = (-a^7 * x^-7) + (b^13 * x^-13)

    differentiating using the chain rule: dy/dx = (-7a^7 * x^-8) - (13b^13 * x^-14)

    then just plug in a and b and simplify

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