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Practice | SPM Add Math

SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Rajah 5 menunjukkan sebahagian daripada lengkung $y = \dfrac{8}{x}$ dalam sukuan pertama. Garis $y = h(x)$ yang dilukis pada paksi yang sama ialah normal kepada lengkung ini pada titik $P$.

Dengan menggunakan prinsip pertama, cari $\dfrac{dy}{dx}$ bagi lengkung itu dan seterusnya nyatakan nilai $\dfrac{dy}{dx}$ pada titik dengan keadaan $x = 1$.

English
Diagram 5 shows part of the curve $y = \dfrac{8}{x}$ in the first quadrant. The line $y = h(x)$ drawn on the same axes is the normal to this curve at the point $P$.

By using first principles, find $\dfrac{dy}{dx}$ for the curve, and hence state the value of $\dfrac{dy}{dx}$ at the point where $x = 1$.
Oxyy = 8/xy = h(x)PA(0, -2)B(8, 2)Rajah 5 / Diagram 5
[2 marks]
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Modelled on SBP trial · Kertas 1 · Q15(a)

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Modelled on SBP trial · Kertas 1 · Q15(a)

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Indices, Surds and Logarithms
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