Application of DerivativeHard

Question

If tangent at a point of the curve y = f(x) is perpendicular to 2x - 3y = 5, then at that point equal -

Options

A.2/3
B.-2/3
C.3/2
D.-3/2

Solution

Slope of tangent is
Slope of line 2x - 3y = 5 is
and tangent is perpendicular this line.
∴  

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