math-check

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I have solved the following questions, let me know if they are correct, thanks.

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

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