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    Could someone explain the method on how to differentiate this tricky equation:

    \frac{2}{5}^5-\frac{20}{3}x^3+50x+3

    Thanks!
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    Differentiate it one term at a time.
    Remember when an equation is in the form
    y=ax^b
    dy/dx=abx^(b-1)
    The question isn't too difficult.
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    (Original post by roar558)
    Differentiate it one term at a time.
    Remember when an equation is in the form
    y=ax^b
    dy/dx=abx^(b-1)
    The question isn't too difficult.
    How do you differentiate a fractional term? Also I heard that the power cancels out the denominator??
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    Here the fractions would cancel , but why not (especially with the first fraction where it is a nice decimal) try differentiating that to see what happens ?

    2(x^4) -20(x^2) +50
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    (Original post by Student#254)
    How do you differentiate a fractional term? Also I heard that the power cancels out the denominator??
    a in the equation i gave is a constant, ie it can be any real number which includes fractions and as you can see, it doesn't change when you differentiate the equation, only when you simplify.
    i'll give you an example, if y=1/2 x^2
    y=2(1/2 x^(2-1))=x^1=x
 
 
 
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