Mathematics, 17.01.2020 20:31 1969976289
Find the derivative of f (x)=(x^2+1)^3 (x^2+2)^6 using chain rule.
Answers: 1
![\bf f(x)=(x^2)^3(x^2+2)^6\impliedby \textit{product rule on the factors} \\\\\\ \cfrac{df}{dx}=[ 3(x^2+1)^2(2x)][(x^2+2)^6]~+~(x^2+1)^3[6(x^2+2)^5(2x)] \\\\\\ \cfrac{df}{dx}=[6x(x^2+1)^2(x^2+2)^6]~+~[12x(x^2+1)^3(x^2+2)^5] \\\\\\ \cfrac{df}{dx}=\stackrel{\textit{common factor}}{6x(x^2+1)^2(x^2+2)^5}[(x^2+2)+2(x^2+1)] \\\\\\ \cfrac{df}{dx}=6x(x^2+1)^2(x^2+2)^5[3x^2+4]](/tpl/images/0459/6934/679b2.png)
Another question on Mathematics
Mathematics, 21.06.2019 19:30
Asquare picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. find the area of the mat that will remain uncovered by the picture.
Answers: 1
Mathematics, 21.06.2019 23:00
The measurement of one angle of a right triangle is 42° what is the measurement of the third angle? (there is no picture)
Answers: 1
Mathematics, 22.06.2019 03:00
What is the approximate difference in tenths between √12 and √15?
Answers: 1
You know the right answer?
Find the derivative of f (x)=(x^2+1)^3 (x^2+2)^6 using chain rule....
Questions
Mathematics, 12.11.2019 03:31
Mathematics, 12.11.2019 03:31
Mathematics, 12.11.2019 03:31
Mathematics, 12.11.2019 03:31
Mathematics, 12.11.2019 03:31
Social Studies, 12.11.2019 03:31
Social Studies, 12.11.2019 03:31
Mathematics, 12.11.2019 03:31
