Linda Peters
2022-09-25
Answered

Given $$f(x,y)=8{x}^{5}y-7x{y}^{6}$$. Compute:

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tal1ell0s

Answered 2022-09-26
Author has **6** answers

Answer:

$$f(x,y)=8{x}^{5}y-7x{y}^{6}\phantom{\rule{0ex}{0ex}}f=8{x}^{5}y-7x{y}^{6}$$

difficulty w.r.t. x

$$\frac{df}{dx}=8\times 5{x}^{4}y-7{y}^{6}\phantom{\rule{0ex}{0ex}}\frac{df}{dx}=40{x}^{4}y-7{y}^{6}\phantom{\rule{0ex}{0ex}}\frac{{d}^{2}f}{d{x}^{2}}=160{x}^{3}y$$

$$f(x,y)=8{x}^{5}y-7x{y}^{6}\phantom{\rule{0ex}{0ex}}f=8{x}^{5}y-7x{y}^{6}$$

difficulty w.r.t. x

$$\frac{df}{dx}=8\times 5{x}^{4}y-7{y}^{6}\phantom{\rule{0ex}{0ex}}\frac{df}{dx}=40{x}^{4}y-7{y}^{6}\phantom{\rule{0ex}{0ex}}\frac{{d}^{2}f}{d{x}^{2}}=160{x}^{3}y$$

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