Application of DerivativeHard

Question

If the normal to the curve y = f (x) at the point (3, 4) makes an angle with the positive xaxis, then f′(3) is equal to

Options

A.-1
B.- 3/4
C.4/3
D.1

Solution

Slope of tangent y = f (x) is = f′(x)(3, 4)
Therefore, slope of normal
   
But         (given)
⇒    
                f′(x) = 1

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