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Question

Differentiate it with respect to x

( x^2 + R^2 )^3/2


Solution

let t = x^2 + R^2
therfore, y = ( x^2 + R^2 )^3/2 = t^3/2
dy/dt = 3/2(x^2 + R^2)^1/2
dt/dx=2x

dy/dx  = (dy/dt)*(dt/dx)
           =3/2(x^2+R^2)^1/2*2x
           =3x(x^2+R^2) Ans.

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