- #1
Raza
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Homework Statement
[tex]y=\frac{8x^4-5x^2-2}{4x^3}[/tex]
Find y'.
2. The attempt at a solution
[tex]y=\frac{8x^4-5x^2-2}{4x^3}[/tex]
[tex]y'=\frac{(32x^3-10x)(4x^3)-(12x^2)(8x^4-5x^2-2)}{(4x^3)^2}[/tex]
[tex]y'=\frac{128x^6-40x^4-96x^6+60x^4+24x^2}{16x^6}[/tex]
[tex]y'=\frac{32x^6+20x^4+24x^2}{16x^6}[/tex]
[tex]y'=\frac{4x^2(8x^4+5x^2+6)}{4x^2(4x^4)}[/tex]
The 4x2 gets canceled out.
Finally,
[tex]y'=\frac{8x^4+5x^2+6}{4x^4}[/tex]
Did I do it right?
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