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algol [13]
3 years ago
5

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
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

D. du/dx = 2x

Step-by-step explanation:

Given to find dy/dx where;

y=(x^{2} +2)e^4^x

Then when you let;

u=x²+2    and

v=e^{4x}

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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