• March 26th 2009, 09:58 PM
nosh
How would you differentiate the following ?
y=(2x^2-1)(4x^3+x)

and

y= (x+5) / (3x^2 -6x)
• March 26th 2009, 10:29 PM
Jhevon
Quote:

Originally Posted by nosh
How would you differentiate the following ?
y=(2x^2-1)(4x^3+x)

Here, apply the product rule: for differentiable functions $f$ and $g$, we define the derivative of their product as follows:

$(f \cdot g)' = f' \cdot g + f \cdot g'$

now try it

Quote:

y= (x+5) / (3x^2 -6x)
apply the quotient rule: for differentiable functions $f$ and $g$ we define the derivative of their ratio as follows:

$\left( \frac fg \right)' = \frac {f'g - fg'}{g^2}$

now try it