Answer to Question #207347 in Calculus for Paballo

Question

Dierentiate the fun

tion

f(x) = 3x

3

e

2x

.

[1℄ 5x

4

e

3x

[2℄ 3x

2

e

2x

(x − 3)

[3℄ 3e

3x + 9x

4x

5

[4℄ 3x

2

e

2x

(2x + 3)

Answer 1

$f(x)=3x^3e^{2x}$

$f'(x)=9x^2e^{2x}+6x^3e^{2x}=3x^2e^{2x}(2x+3)$

Answer: [4]