Let be drawn with and for each real number

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let y=f(x)y=f(x) be drawn with f(0)=2f(0)=2 and for each real number, the tangent to y=f(x)y=f(x) at (a,f(a))(a,f(a)) has xx-intercept (a−2)(a-2). If f(x)f(x) is of the form kepxke^{px}, then (kp)(\frac{k}{p}) has the value equal to.....

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