Question

the differentiable coefficient of x⁶ w.r.t x³ is:​

Answer 1

Given : x⁶ w. r. t x³

To find : differential coefficient of x⁶ w. r. t x³ i

Solution :

differential coefficient means derivative

differential coefficient not necessarily constant.

let say.x³ = t

differentiate wrt t

3x²dx= dt

dx/dt = 1/3x²

x⁶

differentiate wrt t

6x⁵dx/dt

substitute dx/dt value

= 6x⁵ (1/3x²2 )

= 2x³

2x³ is the differential coefficient of x⁶ w. r. t x³

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