Q.

If the normal to the curve y=⨍ (x) at the point (3,4) makes an angle 3π4 with the positive x-axis, then ⨍ '(3) is equal to

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a

1

b

-1

c

45

d

-34

answer is D.

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Detailed Solution

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Slope of the tanget to y=⨍ (x) at (3,4) is dydx=⨍ '(x)(3,4)

Therefore slope of the normal =-1⨍ '(x)(3,4)

                                                       =-1⨍ '(3)

                                                     -1f'3=tan3π4 Given

            ⨍ '(3)=1   

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