Let h(w, f) = √(1 + wf) be a function for the height (in cm) of a bush which is given w liters of water and f cups of fertilizer in its first month. If we reduce the water and the fertilizer at the same ratio (i.e. 1 liter per 1 cup), then how quickly will the height of the bush change?

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. [Gradients and Directional Derivatives][S] Let h(w, f) = √(1 + wf) be a function for the height (in cm)
of a bush which is given w liters of water and f cups of fertilizer in its first month.

If we reduce the water and the fertilizer at the same ratio (i.e. 1 liter per 1 cup), then how quickly will
the height of the bush change?

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Let h(w, f) = √(1 + wf) be a function for the height (in cm) of a bush which is given w liters of water and f cups of fertilizer in its first month. If we reduce the water and the fertilizer at the same ratio (i.e. 1 liter per 1 cup), then how quickly will the height of the bush change?

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