SOLUTION: First and second derivative for= y=x^3e^x

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Question 864710: First and second derivative for=
y=x^3e^x
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

y=x^3e^x

Apply Product Rule: d(f(x)g(x))/dx   =  f(x)(dg(x)/dx  +  g(x)(df(x)/dx 

y'= x^3e^x + e^x(3x^2) 

y" = x^3e^x + e^x(3x^2) + 3x^2e^x + e^x(6x)   Simply according to directions

Need to Know:

%28d%28x%5En%29%29%2Fdx++=+nx%5E%28n-1%29+

%28d%28c%29%29%2Fdx++=+0+  

d%28sin%28x%29%29%2Fdx+=+cos%28x%29

d%28cos%28x%29%29%2Fdx+=+-sin%28x%29  

d%28tan%28x%29%29%2Fdx+=+sec%5E2%28x%29  

d%28cot%28x%29%29%2Fdx+=+-csc%5E2%28x%29

d%28e%5Ex%29%2Fdx+=+e%5Ex+