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Math Help - Quotient rule??

  1. #1
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    Quotient rule??

    f(x) = (10x^5 + 3x^4)/(2x^2)

    Is this possible to solve using the quotient rule?? Can someone kindly demonstrate?
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  2. #2
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    Quote Originally Posted by thekiterunner View Post
    f(x) = (10x^5 + 3x^4)/(2x^2)

    Is this possible to solve using the quotient rule?? Can someone kindly demonstrate?
    Sure, why not?

    f(x) = 10x^5+3x^4, g(x) = 2x^2
    f'(x) = 50x^4 + 12x^3, g'(x) = 4x

    h(x) = \frac{f(x)}{g(x)} \Rightarrow h'(x) = \frac{f'(x)g(x) - f(x)g'(x)}{g^2(x)} =  \frac{(50x^4+12x^3)(2x^2)-(10x^5+3x^4)(4x)}{4x^2}

    Simplify the last expression and you're done.
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  3. #3
    Senior Member Pinkk's Avatar
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    You could also just divide through to get:

    f(x) = 5x^{3}+\frac{3}{2}x^{2}\, , \, x\ne 0

    After that, take the derivative to get:

    f(x)=15x^{2} + 3x\, , \, x\ne 0
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