y=(3x−2).e−2x𝑦=(3𝑥−2).𝑒−2𝑥 Giá trị của y′′(1)𝑦″(1) là:Select one:a.y′′(1)=−8e2𝑦"(1)=−8𝑒2b.y′′(1)=−7e2𝑦"(1)=−7𝑒2c.y′′(1)=−8e−2𝑦"(1)=−8𝑒−2d.y′′(1)=8e2
Question
Solution 1
Đầu tiên, chúng ta cần tìm đạo hàm bậc nhất của hàm số y.
y = (3x - 2)e^-2x
Sử dụng quy tắc đạo hàm của một tích, ta có:
y' = (3x - 2)'e^-2x + (3x - 2)(e^-2x)'
= 3e^-2x + (3x - 2)(-2e^-2x)
= 3e^-2x - 2(3x - 2)e^-2x
= e^-2x(3 - 2(3x - 2))
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Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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y=(3x−2).e−2x𝑦=(3𝑥−2).𝑒−2𝑥 Giá trị của y′′(1)𝑦″(1) là:Select one:a.y′′(1)=−8e2𝑦"(1)=−8𝑒2b.y′′(1)=−7e2𝑦"(1)=−7𝑒2c.y′′(1)=−8e−2𝑦"(1)=−8𝑒−2d.y′′(1)=8e2
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