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Mathematics 18 Online
OpenStudy (anonymous):

Find the derivative of a(x)=x^2*2^x

OpenStudy (anonymous):

Use the product rule: d/dx(x^2)*2^x+x^2*d/dx(2^x)

OpenStudy (anonymous):

ok so would the answer be 2x*ln2*2^x

OpenStudy (anonymous):

No. Remember the addition part of the product rule. Seems you clumped everything together. it's f'(x)g(x)+f(x)g'(x)

OpenStudy (anonymous):

oh right so then 2x*2^x+x^2*ln2

OpenStudy (anonymous):

\[\huge product rule\]

OpenStudy (anonymous):

2x+ln2*2^x

OpenStudy (anonymous):

\[2x*2^x+\ln2*2^x*x^2\]

OpenStudy (anonymous):

oh I was messing it up cause I was writing it wrong I got it know my answer matches you now

OpenStudy (anonymous):

=\[x*2^{x+1}+\ln(2)*x^2*2^x\]

OpenStudy (anonymous):

can'tI leave it the other way

OpenStudy (anonymous):

this should be the answer

OpenStudy (anonymous):

\[\huge (\ln(2)*x^2+2x)*2^x\]

OpenStudy (anonymous):

ok well all my multiple choice answer don'tgive that for a choice all that is similar to it would be 2x*2^x+x^2*ln2*2^x

OpenStudy (anonymous):

and this one??

OpenStudy (anonymous):

what do you mean and theis one

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