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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeRate MeasureMedium2 minPYQ_2005

MathematicsMediumsingle choice

If $x$ is so small that $x^{3}$ and higher powers of $x$ may be neglected, then $\frac{( 1 + x ) ^{3/2} - ( 1 + \frac{1}{2} x ) ^{3}}{( 1 - x ) ^{1/2}}$

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Answer:

Solution:

$(1 - x)^{1/2} [1 + \frac{3}{2} x + \frac{3}{2} (\frac{3}{2} - 1) x^{2} - 1 - 3 (\frac{1}{2} x) - 3 (2) (\frac{1}{2} x)^{2}] = (1 - x)^{1/2} [- \frac{3}{8} x^{2}] = - \frac{3}{8} x^{2}$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Rate Measure

⏱ 2mℹ️ Source: PYQ_2005

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