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how can we resould this equation? y= -o,1 xX4+ 1,2 x

Guest May 12, 2017
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how can we resould this equation? y= -o,1 x^4+ 1,2 x

 

\(y=-0.1x^4+1.2x\)
is a function equation.
Your graph has zeros, extrema, and inflection points.

 

zeros

\(-0.1x^4+1.2x=0\)

\(-0.1x^3+1.2=0\\\color{blue}x_1=0\\x^3=\frac{-1.2}{-0.1}=12\)

 

\(x_2=\sqrt[3]{12}=2.289\)

 

extrema

\(y\ '=-0.4x^3+1.2=0\\x_{max}^3=\sqrt[3]{\frac{-1.2}{-0.4}}=\sqrt[3]{3}\)

 

\(x_{max}=\sqrt[3]{3}=1.442\)

 

 

\(y=-0.1x^4+1.2x\)

 

 

laugh  !

asinus  May 12, 2017

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