How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#?
The Quotient rle is given by
let us denote by
so we get
now we Can build the derivative:
multiplying out the numerator and collecting like Terms we get
If we have a quotient of functions
In our example, we essentially have
We can plug in our expressions into the Quotient Rule to get
With FOIL and some algebraic distribution, we can simplify this expression to get
Hope this helps!