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Let f be a real valued differentiable fu...

Let f be a real valued differentiable function on `RR` such that f(1)=1. If the y-intercept of the tangent at any point P(x, y) on the curve y=f(x) is equal to four power of abscissa of P, then the value of |f(4)| is equal to.

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Knowledge Check

  • Let f be a real valued differentiable function on R such that f(1) =1. If the y-intercept of the tangent at any point P(x,y) on the curve y=f(x) is equal to the cube of the abscissa of P, then the value of f(-3) is equal to

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