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Question: Answered & Verified by Expert
If the tangent to the function $y=f(x)$ at $(3,4)$ makes an angle of $\frac{3 \pi}{4}$ with the positive direction of $x$-axis in anticlockwise direction then $f^{\prime}(3)$ is
MathematicsApplication of DerivativesVITEEEVITEEE 2016
Options:
  • A $-1$
  • B 1
  • C $\frac{1}{\sqrt{3}}$
  • D $\sqrt{3}$
Solution:
2000 Upvotes Verified Answer
The correct answer is: $-1$
$f^{\prime}(3)=\tan \frac{3 \pi}{4}=-\tan \frac{\pi}{4}=-1$

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