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October 22, 2014

October 22, 2014

Posted by **Help-please check** on Sunday, March 25, 2012 at 12:34am.

answer: 3^12x

2. Differentiate and simplify

a. y= 3x^4 - 4e^x + 8

answer: 4(3x^3 - e^x)

b. y= (3 + 4e^x)^5

answer: 20e^x (3+ 4ex)^4

c. y= (e^x - 1) / x^2

answer: (xe^x - 2e^x +2) / x^3

- Math -
**drwls**, Sunday, March 25, 2012 at 6:13amy= 3x^4 - 4e^x + 8

dy/dx = 12 x^3 -4 e^x

= 4(3x^3 -e^x)

y = (3 + 4e^x)^5

Let u = 3+4e^x

y = u^5 dy/du = 5 y^4

dy/dx= dy/du*du/dx

dy/dx = 5(3 + 4e^x)^4*4e^x

= (20 e^x)(3 +4e^x)^4

You can do these. You won't learn without trying

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