Question
Asked Nov 11, 2019
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Differentiate implicitly to find dy/dx

find dy/dx.
2. 2xy +3
0
2 + y=
25
4. 1-
5
6. 1
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find dy/dx. 2. 2xy +3 0 2 + y= 25 4. 1- 5 6. 1

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Expert Answer

Step 1

Refer to the question we need to find the implicit derivative of the provided function.

(2).2.xy+3=0
(4).y225
(6).y =x
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(2).2.xy+3=0 (4).y225 (6).y =x

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Step 2

Now differentiate both sides of the equation with respect to x as,

(2)..2.xy 3 0
d
d
(2.xy +3)
dx
dx
(0)
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(2)..2.xy 3 0 d d (2.xy +3) dx dx (0)

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Step 3

Apply the following derivativ...

Product rule
d(un)
dv
-+u-
dx
du
dx
Derivative of constant
d(c)
=0
Power rule of differentiation
d(x*)
nx
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Product rule d(un) dv -+u- dx du dx Derivative of constant d(c) =0 Power rule of differentiation d(x*) nx

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Tagged in

Math

Calculus

Derivative