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Find the derivative of a(x)=x^2*2^x
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Use the product rule: d/dx(x^2)*2^x+x^2*d/dx(2^x)
ok so would the answer be 2x*ln2*2^x
No. Remember the addition part of the product rule. Seems you clumped everything together. it's f'(x)g(x)+f(x)g'(x)
oh right so then 2x*2^x+x^2*ln2
\[\huge product rule\]
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2x+ln2*2^x
\[2x*2^x+\ln2*2^x*x^2\]
oh I was messing it up cause I was writing it wrong I got it know my answer matches you now
=\[x*2^{x+1}+\ln(2)*x^2*2^x\]
can'tI leave it the other way
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this should be the answer
\[\huge (\ln(2)*x^2+2x)*2^x\]
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
and this one??
what do you mean and theis one
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