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RafMad5018
11.03.2020 •
Mathematics
Find dy/dt at x = -2 if y = -2x^2 - 5 and dx/dt = -5
dy/dt = ???
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Ответ:
Solution:
Given data:
To find
:
Differentiate y with respect to t.
Apply the differentiation rule:![\frac{d}{d x}\left(x^{n}\right)=n \cdot x^{n-1}](/tpl/images/0543/3525/b73f1.png)
Apply the differentiation rule:![\frac{d}{dt}a=0](/tpl/images/0543/3525/0bda3.png)
At x = –2 and![\frac{dx}{dt}=-5](/tpl/images/0543/3525/1e40d.png)
Therefore,
.
Ответ:
...
Step-by-step explanation: