Derivative

That is a lovely equation. What is the problem statement.

Note: Look up "chain rule"
 
Find the derivative

Sorry I am new to this. I will get better thanks for you help!!!
 
amy2310 said:
y=(3x^2+5x+1)^3/2

I am not sure how to set this up
Click to expand...
Notice the nested structure:

f(x) = x^(3/2)
g(x) = 3x^2 + 5x + 1

f'(x) = (3/2)*x^(1/2)
g'(x) = 6*x + 5

If you can do those, you can do the problem as stated, using the Chain Rule.

y' = [(3/2)*(3x^2+5x+1)^(1/2)]*(6*x + 5)
 
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