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Asked Feb 15, 2019
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Find dy/dx by implicit differentiation.
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Find dy/dx by implicit differentiation.

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Step 1

ex/y = 4x - y

Let's differentiate both sides with respect to x.

Recall:

1. The chain rule of differentiation

2. Derivative of ex/y = d(ex/y) / dx = ex/y.d(x/y) / dx

3. d(x/y) = 1/y -x/y2.dy / dx

Step 2

Hence, LHS on differentiation = d(ex/y) / dx = ex/y.(1/y -x/y2.dy / dx)

RHS on differentiation = 4 - dy / dx

Step 3

Hence, ex/y.(1/y -x/y2.dy / dx) = 4 - dy / dx

Regroup the terms containing dy / dx on LHS, we get

dy ...

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Math

Calculus

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