Asked by Akie
Help would be greatly appreciated!
I am so confused as to how I should attack this problem....
Find the Derivative.
f(x) = e^(2x) (x^2 + 5x)
I am so confused as to how I should attack this problem....
Find the Derivative.
f(x) = e^(2x) (x^2 + 5x)
Answers
Answered by
drwls
The derivative is the sum of derivatives of
x^2*e^(2x) and 5x*e^(2x)
Each is in the form of the product of two functions, f(x) and g(x). Use the rule that
d/dx(f(x)*g(x)) = f dg/dx = g df/dx
The derivative of
5x*e^(2x) is 5*e^(2x) + 10x*e^(2x)
Now try the rest of it.
x^2*e^(2x) and 5x*e^(2x)
Each is in the form of the product of two functions, f(x) and g(x). Use the rule that
d/dx(f(x)*g(x)) = f dg/dx = g df/dx
The derivative of
5x*e^(2x) is 5*e^(2x) + 10x*e^(2x)
Now try the rest of it.
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