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
\(y\ '=-0.4x^3+1.2=0\\x_{max}^3=\sqrt[3]{\frac{-1.2}{-0.4}}=\sqrt[3]{3}\)
\(x_{max}=\sqrt[3]{3}=1.442\)
\(y=-0.1x^4+1.2x\)
!