For the following exercises, given y = f ( u ) and u = g ( x ) , find d y d x by using Leibniz’s notation for the chain rule: d y d x = d y d u d u d x . 217. y = cos u , u = − x 8
For the following exercises, given y = f ( u ) and u = g ( x ) , find d y d x by using Leibniz’s notation for the chain rule: d y d x = d y d u d u d x . 217. y = cos u , u = − x 8
For the following exercises, given
y
=
f
(
u
)
and
u
=
g
(
x
)
, find
d
y
d
x
by using Leibniz’s notation for the chain rule:
d
y
d
x
=
d
y
d
u
d
u
d
x
.
I.
Evaluate the following:
a. (x³ + cos y + dy = - 3yx2) dx
b. xdy – ydx = (4x2 + y?)dy
c. dx + xydy = y?dx + ydy
d. (x2 + 3y?)dx - 2xydy = 0
e. (1+x2)(dy – dx) = 2xy
f. y' + ycotx
%3D
|
%3D
sin 2x
%3D
For the function f(x,y,z) = 1 + 7xy³ −2z³, find f, fy, and f₂.
Given y = f(u) and u
g(x), find
Provide your answer below:
2-0
dx
dy
by using Leibniz's notation for the chain rule:
dx
- 5u - 1 u = 3√x
y =
FEEDBACK
dy
dx
dy du
du de
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Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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