Question

Obtain the differential
Co efficient of the following

x*2/x*3+1​

Answer 1

Answer:

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Step-by-step explanation:

What is the differential coefficient of x2x3+1.x2x3+1.

Now let y=x2x3+1.y=x2x3+1.

Take log on both sides.

logy=log(x2)−log(x3+1)log⁡y=log(x2)−log(x3+1)

Differentiate both sides,

1ydydx=2xx2−3x2x3+1.1ydydx=2xx2−3x2x3+1.

The final answer is dydx=x2x3+1(2xx2−3x2x3+1)