Mathematics: Which of the following represents dy/dx when y = e-2x sec (3x)? a. 3e -2x sec (3x) tan (3x) - 2xe-2x sec (3x) b. 3e -2x sec (3x) tan (3x) - 2e-2x sec (3x) c. 3e -2x sec (3x) tan (x) - 2xe-2x sec (3x)d. 3e -2x sec (3x) tan (x) - 2e-2x sec (3x)

Which of the following represents dy/dx when y = e-2x

Ответ:

Vells962

15.03.2022

Using the product rule, which states that (uv)' = u'v + uv':
If y = (e^-2x)(sec3x)
y' = (e^-2x)'(sec3x) + (e^-2x)(sec3x)'
y' = -2(e^-2x)(sec3x) + (e^-2x)(3 sec3x tan3x)
y' = 3(e^-2x)(sec3x tan3x) -2e^-2x (sec3x)

This matches choice B.

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Ответ:

lovvyDovvy04

23.08.2020

Mathematics

1). 10 times more 2). 10 times less 3). the same

Step-by-step explanation:

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Which of the following represents dy/dx when y = e-2x sec (3x)? a. 3e -2x sec (3x) tan (3x) - 2xe-2x sec (3x) b. 3e -2x sec (3x) tan (3x) - 2e-2x sec (3x) c. 3e -2x sec (3x) tan (x) - 2xe-2x sec (3x)d. 3e -2x sec (3x) tan (x) - 2e-2x sec (3x)

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