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anonymous
 one year ago
F(x) = 8x^3  3x^2 + 5x +15
anonymous
 one year ago
F(x) = 8x^3  3x^2 + 5x +15

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UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0\[F(x) = 8x^3  3x^2 + 5x +15\\[2ex] f(x)=\frac{\mathrm d}{\mathrm dx}F(x)\\ \qquad=\frac{\mathrm d}{\mathrm dx}\Big(8x^3  3x^2 + 5x +15\Big)\\ \qquad=\frac{\mathrm d}{\mathrm dx}\Big(8x^3\Big)  \frac{\mathrm d}{\mathrm dx}\Big(3x^2 \Big)+ \frac{\mathrm d}{\mathrm dx}\Big(5x\Big) +\frac{\mathrm d}{\mathrm dx}\Big(15\Big)\\[3ex] \qquad\hspace{6em}\textit{< applying }\quad \frac{\mathrm d}{\mathrm dx}ax^n=nax^{n1} \textit{ >}\\[3ex] \qquad=3\cdot8x^{31}  2\cdot3x^{21} + 1\cdot5x^{11} +0\cdot15x^{01}\\ \qquad= \]

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0What's the question?
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