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Answer to Question #13630 in Calculus for lisa
Question #13630
Differentiate in respect to x: 4xe^3x; ive tried to differentiate with the chain rule and i keep getting stuck.
Expert's answer
In this task you ought to use product rule because you have product of two functions 4x and e^3x. Besides, you'll need chain rule when differentiating e^3x. let's see& :
(4xe^3x)'=4e^3x+4x*e^3x*3=4e^3x+12x*e^3x=4e^3x *(1+3x)
(4xe^3x)'=4e^3x+4x*e^3x*3=4e^3x+12x*e^3x=4e^3x *(1+3x)
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