Mathematics

Mathematics

Problem

Let ff be a real-valued differentiable function on R\mathbb{R} (the set of all real numbers) such that f(1)=1f(1) = 1. If the yy-intercept of the tangent at any point P(x,y)P(x, y) on the curve y=f(x)y = f(x) is equal to the cube of the abscissa of PP, then the value of f(−3)f(-3) is equal to [JEE(Adv.) 2010]

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