Question

Differentiation

Q. y = sinx/x

Answer 1

Answer :

Given that, y = sinx/x ...(i)

Now, differentiating both sides of (i) with respect to x, we get

dy/dx = d/dx (sinx/x)

= {x d/dx (sinx) - sinx d/dx (x)}/(x^2)

= (x cosx - sinx)/(x^2)

We have used the formula -

d/dx (u/v)

= (v du/dv - u dv/du)/(v^2)

Hope it helps!

Answer 2

Hey !!!

y = sinx / x

dy / dx = d (sinx/x ) /dx

=> Using divide rule of differentiation

dy/dx = x d( sinx )dx - sinx d ( x )/dx / x²

=> xcosx - sinx / x²

For better understanding , I provide you a attachment .

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Hope it helps you !!!

@Rajukumar111