Determine `(dy)/(dt)` at x=3 if `y=2x^2-5x` and `(dx)/(dt)=2` .

Differentiate `y=2x^2-5x` with respect to `t` using implicit differentiation.

`(dy)/(dt)=4x(dx)/(dt)-5(dx)/(dt)` Here we can apply the general power rule: if `u` is a differentiable function of `t` then `d/(dt) u^n=n*u^(n-1)u'`

Substitute for the...

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