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Mathematics 20 Online
OpenStudy (anonymous):

could somebody please check my answer if it is correct. the question is: Find the value of f'(-2) if f(x)=(x^2+2) sin(4-3x)

OpenStudy (anonymous):

f'(x)= -3(x^2+2) cos(4-3x) + 2xsin(4-3x)

OpenStudy (anonymous):

f'(-2) = -18.42

OpenStudy (anonymous):

Are you working in degrees or radians? I can check for you

OpenStudy (anonymous):

product rule

OpenStudy (anonymous):

Yes, that is correct

OpenStudy (anonymous):

i guess they have the answer wrong in the textbook. they had 17.279 as the answer

OpenStudy (anonymous):

I would assume so [never trust textbook answers!] I got the same as you, using product and chain rule! Maybe if someone else works it out they could confirm this @jim_thompson5910 ?

OpenStudy (anonymous):

THX SARAH :)

OpenStudy (anonymous):

Anytime :)

jimthompson5910 (jim_thompson5910):

the book looks like it's working in radians because I'm getting 17.2793719669337 in radian mode and -18.4211322648874 in degree mode

OpenStudy (anonymous):

Ah yes; easy mistake to make! As I said above always make sure you check which form it wants the answer in [if not stated I would suggest giving it in both - but clarifying which is which obviously] Thanks jim!

jimthompson5910 (jim_thompson5910):

sure thing

OpenStudy (anonymous):

Thanks guys. i really appreciate it

OpenStudy (bradely):

step by step answers posted here http://www.mathskey.com/question2answer/4162/could-somebody-please-check-my-answer-if-it-is-correct ask your calculus homework questions at http://www.mathskey.com/question2answer/ … and get free math help. all the best

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