Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsHard2 minPYQ_2012

MathematicsHardsingle choice

If the normal to the curve $y = f (x)$ at the point (3,4) makes an angle $3 π /4$ with the positive $x$ -axis, then $f^{'} (3) =$

Options:

Answer:

Solution:

Slope of normal to $y = f (x)$ at (3,4) is $\frac{- 1}{f ^{'} ( 3 )}$ . $Thus, \frac{- 1}{f ^{'} ( 3 )} = tan (\frac{3 π}{4}) = tan (\frac{π}{2} + \frac{π}{4}) = - cot \frac{π}{4} = - 1 \Rightarrow f^{'} (3) = 1$

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

⏱ 2mℹ️ Source: PYQ_2012

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