Question
If $s-7 x^{2} y \sqrt{z}$, find:(a) $\frac{d^{2} s}{d x^{2}}$(b) $\frac{d^{2} s}{d y^{2}}$(c) $\frac{d s}{d z}$
Step 1
Given the function $s = 7x^{2}y\sqrt{z}$, we treat $y$ and $z$ as constants and differentiate with respect to $x$. Using the power rule, we get: \[\frac{ds}{dx} = 2 \cdot 7x \cdot y \sqrt{z} = 14xy\sqrt{z}\] Show more…
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If $s=7 x^{2} y \sqrt{z},$ find: $$(a) \frac{d^{2} s}{d x^{2}} \quad \quad (b) \frac{d^{2} s}{d y^{2}} \quad \quad (c) \frac{d s}{d z}$$
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