Find dy/dx, using implicit differentiation.

4x + 5y = xy
dy / dx = -(y-4) / (x-5)

1. Compare your answer with the result obtained by first solving for y as a function of x and then taking the derivative.
a. y =
b. dy dx =

2. Find dy/dx, using implicit differentiation.

Compare your answer with the result obtained by first solving for y as a function of x and then taking the derivative.
a. y =
b. dy / dx=

a)

b)

Step-by-step explanation:

Step 1:-

Given 4x+5y = x y .......(1)

subtracting '5y' on both sides, we get

4x+5y-5y = x y - 5y

on simplification, we get

4x = y(x-5)

Dividing 'x-5' on both sides, we get

Step 2:-

by using derivative formulas

apply '

Differentiating equation (1) with respective to 'x' we get

On simplification , taking common we get,

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step-by-step explanation:

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