Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minPYQ_2016

MathematicsMediumsingle choice

What is the $x$ -coordinate of the point on the curve $f (x) = x (7 x - 6),$ where the tangent is parallel to $x$ -axis?

Options:

Answer:

Solution:

$f (x) = x (7 x - 6) = 7 x^{3/2} - 6 x^{1/2}$ $f^{'} (x) = 7 \times \frac{3}{2} x^{1/2} - 6 \times \frac{1}{2} x^{- 1/2}$ When tangent is parallel to $x$ axis $f^{'} (x) = 0$ or, $\frac{21}{2} x^{1/2} - 3 x^{- 1/2} = 0$ $\frac{21}{2} x = \frac{3}{x}$ or, $7 x = 2 \Rightarrow x = \frac{2}{7}$

Stream:BITSATSubject:MathematicsTopic:Application of DerivativeSubtopic:Tangents & Normals

⏱ 2mℹ️ Source: PYQ_2016

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