Question
Asked Oct 2, 2019

Can you help me with this problem step by step?

3.7.4
dy
Use implicit differentiation to find
dx
x3-18xy+y
3
1
X
dy
dx
II
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3.7.4 dy Use implicit differentiation to find dx x3-18xy+y 3 1 X dy dx II

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check_circleExpert Solution
Step 1

Differentiating implicitly with respect to x on both sides. Solving left hand side first.

18xy+y))-(18))
(ec)
d
(18.xy)
d
d
dx
dx
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18xy+y))-(18)) (ec) d (18.xy) d d dx dx

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Step 2

Apply the sum/difference rule and product rule.

d
d
+
dx
(x*)
+3y2
dx
(18.xy)
dx
-(y )= 3x2-18| y+x-
dx
dx
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d d + dx (x*) +3y2 dx (18.xy) dx -(y )= 3x2-18| y+x- dx dx

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Step 3

Now, solve the right...

(1)0
dx
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(1)0 dx

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Tagged in

Math

Calculus

Differential Equations