# Question i need help with this please Find $$\frac{d y}{d x}$$ by implicit differentiation, given that $$x^{2} y-6 y^{7}=-3$$. Your answer could involve both $$x$$ and $$y$$. Enclose numerators and denominators in parentheses. For example, $$(a-b) /(1+n)$$. $\frac{d y}{d x}=\text { 㐫 }$ Show work and explain, in your own words, how you arrived at your answers. Answers with no relevant explanations may receive reduced or no credit.

Transcribed Image Text: Find $$\frac{d y}{d x}$$ by implicit differentiation, given that $$x^{2} y-6 y^{7}=-3$$. Your answer could involve both $$x$$ and $$y$$. Enclose numerators and denominators in parentheses. For example, $$(a-b) /(1+n)$$. $\frac{d y}{d x}=\text { 㐫 }$ Show work and explain, in your own words, how you arrived at your answers. Answers with no relevant explanations may receive reduced or no credit.
Transcribed Image Text: Find $$\frac{d y}{d x}$$ by implicit differentiation, given that $$x^{2} y-6 y^{7}=-3$$. Your answer could involve both $$x$$ and $$y$$. Enclose numerators and denominators in parentheses. For example, $$(a-b) /(1+n)$$. $\frac{d y}{d x}=\text { 㐫 }$ Show work and explain, in your own words, how you arrived at your answers. Answers with no relevant explanations may receive reduced or no credit.
&#12304;General guidance&#12305;The answer provided below has been developed in a clear step by step manner.Step1/1solution; given that the equation is $$\mathrm{{x}^{{2}}{y}-{6}{y}^{{7}}=-{3}}$$now we implicitely differentiate it w,r,t,x that is $$\mathrm{\frac{{d}}{{{\left.{d}{x}\right.}}}{\left({x}^{{2}}{y}-{6}{y}^{{7}}\right)}=\frac{{d}}{{{\left.{d}{x}\right.}}}{\left(-{3}\right)}}$$\( \mathrm{{y}\frac{{d}}{{{\left.{d}{x}\right.}}}{\left({x}^{{2}}\right)}+{x}^{{2}}\frac{{d}}{{{\left.{d}{x}\right.}}}{\left({y}\right)}-\frac{{d}}{{{\left.{d}{x}\right.}}}{\ ... See the full answer