6 lines
279 B
TeX
6 lines
279 B
TeX
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\[ h(x) = -\frac{1}{4}x^4 + \frac{2}{3}x^3 + 2x^2 - \sqrt{2}x + \pi^e \]
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\begin{align*}
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h'(x) &= 4 \cdot -\frac{1}{4}x^{4-1} + 3 \cdot \frac{2}{3}x^{3-1} + 2\cdot2x^{2-1} - 1 \cdot \sqrt{2}x^{1-1} + 0 \cdot \pi^e x^{0-1} \\
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&= -x^{3} + 2x^{2} + 4x - \sqrt{2} \\
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\end{align*}
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