Differentiate inside function in chain rule, Mathematics

Differentiate following.

f ( x ) = sin (3x2  + x )

Solution

It looks as the outside function is the sine & the inside function is 3x2+x. The derivative is then.

2230_inside function5.png

Or  along with a little rewriting,

f ′ ( x ) = (6x + 1) cos (3x2  + x )

 

 

Posted Date: 4/12/2013 3:52:59 AM | Location : United States







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