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Question
Derivative of x2 w.r.t. x3 is ______.
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Solution
Derivative of x2 w.r.t. x3 is `2/(3x)`.
Explanation:
Let y = x2 and t = x3
Differentiating both the parametric functions w.r.t. x
`"dy"/'dx"` = 2x and `"dt"/"dx"` = 3x2
∴ `"dy"/"dt" = ("dy"/"dx")/("dt"/("dx")`
= `(2x)/(3x^2)`
= `2/(3x)`
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