Math
posted by Helpplease check on .
1. Simplify, and write in the base of 3: (9^x . 3^4x)^2
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

y= 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