If f (x) = \sqrtx and g (x) = 1/\sqrtx for x ∊ [3 , 12] , then the value of c ∊ (3 , 12) for which \frac{f'(c)}{g'(c)} = \frac{f(12)-f(3)}{g(12)-g(3)} holds , is

AP EAMCET Engineering 2018 Apr 24 Shift 1 Paper

Section: Mathematics

Question : 70 of 160

Marks: +1, -0

If f (x) = √x and g (x) =

√x

for x ∊ [3 , 12] , then the value of c ∊ (3 , 12) for which

f′(c)

g′(c)

f(12)−f(3)

g(12)−g(3)

holds , is

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