Matematik Opg 340 342 345


Opgave 340

LaTex: \begin{eqnarray} f_1(x) &=& x^9+2x^2-4x^5\\ f'_1(x) &=& 9x^8+2x-20x^4\\ f''_1(x) &=& 72x^7+2-80x^3\\ f_5(x) &=& \frac{1}{x^2}+7\\ f'_5(x) &=& \frac{-2}{x^3}\\ f'_5(x) &=& \frac{6}{x^4}\\ \end{eqnarray}

Opgave 342

LaTex: f'(x) = 3x^2 + 6x + 1 \\ f(x) = x^3 + 3x^2 + x \\ \\ f_1 '(x) = \frac{1}{{2\sqrt x }} - x \\ f_1 (x) = - \sqrt x - \frac{1}{2}x^2 \\ \\ f_2 '(x) = - 3x^{ - 4} + 6 \\ f_2 (x) = x^{ - 3} + 6x \\ \\ f_3 '(x) = \frac{{ - 1}}{{x^2 }} - 2x + 8 \\ f_3 (x) = \frac{1}{x} - x^2 + 8x \\

Opgave 345

  1. Falsk
  2. Sand
  3. Falsk
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  5. Falsk
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