STEP USING DERIVATIVE RULE FOR SUM
[tex]\large\sf Given[/tex]
[tex] \sf \: 9x ^ { 3 } +3x+2[/tex]
[tex] \sf \: 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 ax^{n} is nax^{n-1}.[/tex]
[tex] \sf \: 3\times 9x^{3-1}+3x^{1-1} [/tex]
[tex] \sf \: Multiply 3 times 9.[/tex]
[tex] \sf \: 27x^{3-1}+3x^{1-1} [/tex]
[tex] \sf \: Subtract 1 from 3.[/tex]
[tex] \sf \: 27x^{2}+3x^{1-1} [/tex]
[tex] \sf \: Subtract 1 from 1.[/tex]
[tex] \sf \: 27x^{2}+3x^{0} [/tex]
[tex] \sf \: For any term t except 0, t^{0}=1.[/tex]
[tex] \sf \: 27x^{2}+3\times 1 [/tex]
[tex] \sf \: For any term t, t\times 1=t and 1t=t.[/tex]
[tex]\large\sf{» AnsWer}[/tex]
[tex] \large \orange { \boxed{ \sf \: 27x^{2}+3 }}[/tex]
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