+0  
 
0
673
1
avatar

solve using quotient rule

 

I dont understand how to use this rule in order to solve. 

gf1-g-f/g2

 Feb 26, 2016
 #1
avatar+129845 
0

The Quotient Rule says that if we have  functions f and g such that   f  / g  ...... the derivative   =

 

[ f '  * g   -  f * g ' ]  /  [ g] ^2

 

So we have

 

f = cosx    f ' =  -sinx

g = x^2     g '  = 2x

g^2   = (x^2)^2   = x^4

 

Using the formula, we have

 

[ -sinx * x^2 -  cosx * 2x ] / [ x^2]^2  =

 

 x [ -sinx *x - cosx * 2] / [ x^4] =

 

- [  xsinx  - 2cosx ] / x^3

 

 

cool cool cool

 Feb 26, 2016

1 Online Users