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Match List I with the List II and select the correct answer using the code given below the lists : List IList II(A)Let f be a real-valued differentiable function on R such that f′(1)=6 and f′(2)=2. (P) 4Then limh→0f(3cosh+4sinh−2)−f(1)f(3eh−5sech+4)−f(2) is equal to(B)For a>0, let f:[−4a,4a]→R be an even function such that f(x)=f(4a−x) for all (Q) 5x∈[2a,4a] and limh→0f(2a+h)−f(2a)h=4. Then limh→0f(h−2a)−f(−2a)2h is equal to(C)Suppopse f is a differentiable function on R. Let F(x)=f(ex) and G(x)=ef(x). (R) 3If f′(1)=e3 and f(0)=f′(0)=3, thenG′(0)F′(0) is equal to(D)Let f(x)=max{cosx,x,2x−1} where x≥0. Then number of points of (S) 2non-differentiability of f(x), is equal to(T) 1Which of the following is a CORRECT combination?

Answer»

Match List I with the List II and select the correct answer using the code given below the lists :



List IList II(A)Let f be a real-valued differentiable function on R such that f(1)=6 and f(2)=2. (P) 4Then limh0f(3cosh+4sinh2)f(1)f(3eh5sech+4)f(2) is equal to(B)For a>0, let f:[4a,4a]R be an even function such that f(x)=f(4ax) for all (Q) 5x[2a,4a] and limh0f(2a+h)f(2a)h=4. Then limh0f(h2a)f(2a)2h is equal to(C)Suppopse f is a differentiable function on R. Let F(x)=f(ex) and G(x)=ef(x). (R) 3If f(1)=e3 and f(0)=f(0)=3, thenG(0)F(0) is equal to(D)Let f(x)=max{cosx,x,2x1} where x0. Then number of points of (S) 2non-differentiability of f(x), is equal to(T) 1



Which of the following is a CORRECT combination?



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