Question

differential coefficient of 1/x
2​

Answer 1

Answer:

Explanation:

Instead of the quotient rule we can approach this problem in an elegant way.

I am assuming the problem to be:

What is the differential coefficient of  x2x3+1.  

Now let  Y=x2x3+1.  

Take log on both sides.

logY=log(x2)−log(x3+1)  

Differentiate both sides,

1YdYdx=2 xx2−3x2x3+1.  

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