Calculate dy/dx when y = (x2 + 2)e 4x as the derivative of a product, letting u = x2 + 2 and v = e4x . Which of the following is
a step in your solution?
A. dv/dx = 4xe3x
B. du/dx = 2x + 2
C. dv/dx = 4xe4x
D. du/dx = 2x
1 answer:
Answer:
D. du/dx = 2x
Step-by-step explanation:
Given to find dy/dx where;

Then when you let;
u=x²+2 and

Then
In u=x²+2 du/dx = 2x------------------------step 1
In e^4x, dv/dx = e^4x * d/dx (4x)
=e^4x *4 = 4e^4x------------------------------------step 2
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Step-by-step explanation: