tentukan turunan pertama dari fungsi berikut
[tex] \begin{align}1)\:\:\:\:\: f(x) &= \dfrac{1}{x^2}- \dfrac{1}{x}+1 \\ f(x) &= x^{-2}-x^{-1}+1 \\ \Rightarrow f'(x) &= -2x^{-3} -(-x^{-2})+0 \\ f'(x) &= -2x^{-3}+x^{-2} \\ f'(x) &= \dfrac{1}{x^2}- \dfrac{2}{x^3} \end{align}[/tex]
[tex] \begin{align}2)\:\:\:\:\: f(x) &= (3-x)(6x^2+3x-9) \\ \Rightarrow f'(x) &= -1(6x^2+3x-9)+(12x+3)(3-x) \\ f'(x) &= -6x^2-3x+9-12x^2+36x-3x+9 \\ f'(x) &= -18x^2+30x+18 \\ f'(x) &= 18+30x-18x^2\end{align}[/tex]
[answer.2.content]