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Application of Derivatives question

2010 · Shift 1 · Q40
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Application of Derivatives question

2010 · Shift 1 · Q40

JEE AdvancedMathematicsApplication of DerivativesNumerical+4 / −1
Let fff be a real-valued differentiable function on RRR(the set of all real numbers) such that f(1)=1f(1)=1f(1)=1. If the yyy-intercept of the tangent at any point P(x,y)P(x,y)P(x,y) on the curve y=f(x)y=f(x)y=f(x) is equal to the cube of the abscissa of PPP, then find the value of f(−3)f(-3)f(−3)
Numerical answer
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