1. ## Quotient rule??

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

Is this possible to solve using the quotient rule?? Can someone kindly demonstrate?

2. Originally Posted by thekiterunner
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.

3. 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:

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