SOLUTION: If y = x 5 :e x , differentiate with respect to x

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Question 862764: If y =
x 5 :e x
, differentiate with respect to x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

y = x%5E5e%5Ex

Apply Product Rule

dy%2Fdx+=+%28x%5E5%29e%5Ex+%2B+%28e%5Ex%29%285x%5E4%29+=+%28e%5Ex%29x%5E4%28x%2B5%29  

Need to Know:

%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+