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02.11.2019 •
Mathematics
This one as well. #22 a & b
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Ответ:
Step-by-step explanation:
The chain rule says ...
dy/dx = (dy/du)·(du/dx)
For these problems that means ...
a. dy/dx = (10u +1)·(3) = 10((3x +1) +1)(3) = 3(30x +11)
dy/dx = 90x + 33
___
b. dy/dx = -2u^-3·(2)
dy/dx = -4/(2x +3)^3
Ответ:
22a. y' = 90x + 33
Step-by-step explanation:
y = 5u² + u - 1 u = 3x + 1
First take the derivative of y = 5u² + u - 1 with respect to u
y' = (2)(5u)(u') + (1)(u') - 0
= (10u)u' + u'
Next, take the derivative of u = 3x + 1 with respect to x
u' = 3 + 0
u' = 3
Now, input u = 3x + 1 and u' = 3 into the y' equation:
y' = (10u)u' + u'
= 10(3x + 1)(3) + 3
= 30(3x + 1) + 3
= 90x + 30 + 3
= 90x + 33
***********************************************************************
22b.
Step-by-step explanation:
u = 2x + 3
Next, take the derivative of u = 2x + 3 with respect to x
u' = 2 + 0
u' = 2
Now, input u = 2x + 3 and u' = 2 into the y' equation
Ответ: