(frac{9x^{4}y^{-6}z^{4}}{3xy^{-6}z^{-2}})^{2}divfrac{(2xy^{2}z^{-3})^2}{(9x^-1yz^2)^9.1} Denklemini Çözme

Hesapla

\frac{3486784401\sqrt[5]{3}\times \left(\frac{y}{x}\right)^{5,1}z^{18}\left(|z|\right)^{18,2}}{4}

Türevini al: w.r.t. x

-\frac{177826004451\sqrt[5]{3}\times \left(\frac{y^{\frac{51}{91}}}{x^{\frac{61}{81}}}\right)^{8,1}y^{\frac{51}{91}}z^{18}\left(|z|\right)^{18,2}}{40}

Test

Algebra

( \frac { 9 x ^ { 4 } y ^ { - 6 } z ^ { 4 } } { 3 x y ^ { - 6 } z ^ { - 2 } } ) ^ { 2 } \div \frac { ( 2 x y ^ { 2 } z ^ { - 3 } ) ^ { 2 } } { ( 9 x ^ { - 1 } y z ^ { 2 } ) ^ { 9.1 } }

Web Aramasından Benzer Problemler

How do you multiply \displaystyle\frac{{{2}{x}^{{2}}+{5}{x}{y}+{2}{y}^{{2}}}}{{{4}{x}^{{2}}-{y}^{{2}}}}\div\frac{{{x}^{{2}}+{x}{y}-{2}{y}^{{2}}}}{{{2}{x}^{{2}}+{x}{y}-{y}^{{2}}}} ?

https://socratic.org/questions/how-do-you-multiply-2x-2-5xy-2y-2-4x-2-y-2-div-x-2-xy-2y-2-2x-2-xy-y-2

\displaystyle=\frac{{{x}+{y}}}{{{x}-{y}}} Explanation: The starting point with algebraic fractions is to factorise wherever possible. \displaystyle\frac{{{\left({2}{x}^{{2}}+{5}{x}{y}+{2}{y}^{{2}}\right)}}}{{{\left({4}{x}^{{2}}-{y}^{{2}}\right)}}}\div\frac{{{\left({x}^{{2}}+{x}{y}-{2}{y}^{{2}}\right)}}}{{{\left({\left({2}{x}^{{2}}+{x}{y}-{y}^{{2}}\right)}\right)}}} ...

4\frac{x^3}{y^2}+\frac{3}{y}+\left(3\frac{x}{y^2}+4y\right)y' = 0

https://math.stackexchange.com/questions/1909060/4-fracx3y2-frac3y-left3-fracxy24y-righty-0

by multiplying both sides to { y }^{ 2 }\\ \\ we can get quite an easy solution \left( 4x^{ 3 }+3y \right) dx+\left( 3x+4{ y }^{ 3 } \right) dy=0\\ 4\left( { x }^{ 3 }dx+{ y }^{ 3 }dy \right) +3\left( ydx+xdy \right) =0\\ 4d\left( { x }^{ 4 }+{ y }^{ 4 } \right) +3d\left( xy \right) =0\\ 4\left( { x }^{ 4 }+{ y }^{ 4 } \right) +3xy=C

Prove that if ({x+\sqrt{x^2+1}})({y+\sqrt{y^2+1}})=1 then x+y=0

https://math.stackexchange.com/questions/1118742/prove-that-if-x-sqrtx21y-sqrty21-1-then-xy-0

Note y+\sqrt{y^2+1}=\sqrt{x^2+1}-x\tag{1} x+\sqrt{x^2+1}=\sqrt{y^2+1}-y\tag{2} (1)+(2) \Longrightarrow x+y=-(x+y) \Longrightarrow x+y=0

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Örnekler

İkinci dereceden denklem

{ x } ^ { 2 } - 4 x - 5 = 0

Trigonometri

4 \sin \theta \cos \theta = 2 \sin \theta

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]

Eş zamanlı denklem

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

Türevleme

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

İntegralleme

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

Limitler

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

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