SOLUTION: please find the derivatives of the function given by y=4e^((x^3)+1) please show working

Question 328647: please find the derivatives of the function given by
y=4e^((x^3)+1)
please show working
Found 2 solutions by galactus, rapaljer:
Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
Find the derivative of
This requires the chain rule. To put it simply, the chain rule is the derivative of the inside times the derivative of the outside.
What is the outside?. It is
What is the inside?. It is
Derivative of outside is just
Derivative of inside:
Now, multiply them:
That's it.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
The derivative of e^u is e^u*(inside derivative), which in this case is the derivative of the exponent itself.

y=4e^(x^3+1)
y'=4e^(x^3+1)*3x^2
y'=12x^2*e^(x^3+1)

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Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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