1.

What is the derivative of `x^(3)` with respect to `x^(2)`?A. `3x^(2)`B. `(3x)/(2)`C. `x`D. `(3)/(2)`

Answer» Correct Answer - B
`U = x^(3)`
`(dU)/(dx)=3x^(2)" "...(1)`
`V = x^(2)`
`(dV)/(dx)=2x`
From (1) and (2)
`(dU)/(dV)=(3x^(2))/(2x)=(3)/(2)x`


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