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







Related Discussions:- Differentiate inside function in chain rule, Assignment Help, Ask Question on Differentiate inside function in chain rule, Get Answer, Expert's Help, Differentiate inside function in chain rule Discussions

Write discussion on Differentiate inside function in chain rule
Your posts are moderated
Related Questions
Equation s(in Tth second)=u+at-a/2 seems to be dimensionally incorrect.why?

01010011 01100101 01101101 01110000 01100101 01110010 00100000 01000110 01101001 00100001

a business is owned by three people.the first owns 1/12 of the business and the second owns 1/6 of the business. what fractional part of the business is owned by the third person

There are a variety of strategies that people use for developing this ability. For instance, while adding 1821,695 and 250, a person could estimate it mentally i) by rounding of

Definition of Natural exponential function:   The natural exponential function is f( x ) = e x   where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x

Susan traveled 114 miles in 2 hours. If she remains going at the similar rate, how long will it take her to go the remaining 285 miles of her trip? There is a 1 in 6 chance of

three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.

example #Minimum 100 words accepted#

#sally wieghs 100kg. According to the 50/50 basal bolus rate be per meal bolus?

A surveyor is hired to calculate the width of a river. Using the example provided, Calculate the width of the river. a. 48 ft b. 8 ft c. 35 ft d. 75 ft