SOLUTION: find the derivative f(x)=x^4*e^3x f'(x)= this is what I came up with and it says my answer is wrong- what did I do wrong f'(x) 4x^3*e^3x*3

SOLUTION: find the derivative f(x)=x^4e^3x f'(x)= this is what I came up with and it says my answer is wrong- what did I do wrong f'(x) 4x^3e^3x*3

Question 202798: find the derivative
f(x)=x^4*e^3x
f'(x)=
this is what I came up with and it says my answer is wrong- what did I do wrong
f'(x) 4x^3*e^3x*3

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the derivative
f(x)=x^4*e^3x
f'(x)=
this is what I came up with and it says my answer is wrong- what did I do wrong
f'(x) 4x^3*e^3x*3
---------------
It's a product, so you have to follow the product rule.
f'(x) = x^4 + [e^(3x)*12x^2]
Then simplify.
=========================
Cheers,
Stan H.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
I was working on this problem when I noticed that Stanbon got to it first, but after looking at his solution, I don't quite understand how he arrived at what he got! So here's my take on it.
Find the derivative of:

Since you are asked to find the derivative of a product of two functions of x, you will need to use the following rules of differential calculus:
also:
Note: u, v, and m are all functions of x.
So here we go:

Factor out

RELATED QUESTIONS
PROBLEM: LET f(x)=3x^2-2x+1. FIND THE FOLLOWING: f(2) *** IN THIS MY TEACHER SAYS THE... (answered by Alan3354)
I am just learning to do functions, domain. When f(x)=x+1 and g(x)=2x find: a)... (answered by stanbon)
How do I transform the equation y=√x to shift left 4 units, down 3 units, and... (answered by Theo)
I need some help. When I do this equation I get f"(x)=-2x^-2. The problem is the... (answered by ewatrrr)
Calculate the indicated value f(x) = 11x^2 + 12x - 12 g(x) = 12x^2 - 11x + 11 find... (answered by jim_thompson5910)
write the equation of the parabola in standard form. find the coordinates of points... (answered by stanbon)
Can you help me with this equation. My son came up with the wrong answer and when i used... (answered by funmath)
If the horizontal asymptote for f(x) = (x-4)/((x^2)-4) is y=0, why is it that when I plug (answered by josgarithmetic)
f(x) = x√(1-x^2) f'(x) = (1-2x^2)/√(1-x^2) f"(x) =... (answered by stanbon)