Respuesta :
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
- What is the answer to [tex]\sf \: f ( x ) = - 3 x ^ { 2 } - 20[/tex]
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex] \large \boxed{ \bf \: - 6x}[/tex]
[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]
[tex] \large \sf \: f ( x ) = - 3 x ^ { 2 } - 20[/tex]
- The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of [tex]\sf \: ax^{n}[/tex] is [tex]\sf \: nax^{n-1}[/tex].
[tex] \large \sf \: 2\times ( -3x)^{2-1} [/tex]
- Multiply 2 times - 3.
[tex] \large \sf \: - 6x^{2-1} [/tex]
- Subtract 1 from 2.
[tex] \large \sf \: - 6x^{1} [/tex]
- For any term t, t¹ = t.
[tex]\large \boxed{ \bf \: - 6x}[/tex]