Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Suppose a function f:[0,10] R is continuous and differentiable everywhere in its domain. If f(10)=19 and |f^ (x)-5 | 4 x in domain. Find maximum value of f(0) .

Correct answer

Step-by-step solution

y=f(x) in [0,10] Use L.M.V.T. aligned f^ (x) & = f(10)-f(0) 10 = 19-f(0) 10 -4 & 19-f(0) 10 -5 4 1 & 19-f(0) 10 9 aligned aligned 10 & 19-f(0) 90 -71 & f(0) 9 . f(0) |_ . & =9 aligned

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