1)

If the tangent to the function y=f(x) at (3,4)  makes an angle of  $\frac{3\pi}{4}$ with the positive directions of x-axis in anticlockwise direction then f '(3) is 


A) -1

B) 1

C) $\frac{1}{\sqrt{3}}$

D) $\sqrt{3}$

Answer:

Option A

Explanation:

$f'(3)= \tan \frac{3\pi}{4}=-\tan \frac{\pi}{4}=-1$