Consider the following statements I. `y=(e^x+e^-x)/2` is an increasing function on `[0, oo).` II. `y=(e^x-e^-x)/2` is an increasing function on `(-oo, oo).` Which of the above statement(s) is/are correct?

Consider the following statements 1 y=e^(x)+e^(-x)./(2) is an increasing funciton on [0,oo) 2 y=(e^(x)-e^(-x))/(2) is an increasing function on (-oo,oo) Which of the above statement is / are are correct ?

Consider the following statements 1 f(x)=In x is an increasing funciton on (0,oo) 2 f(x) =e^(x)-x(In x) is an increasing function on (1,oo) Which of the above statement is / are correct ?

Consider the following statements I.The function f(x)=x^(2)+2cos x is increasing in the interval (0,pi). II.The function f(x)=ln(sqrt(1+x^(2))-x) is decreasing in the interval (-oo,oo). Which of the above statement(s) is/are correct?

Consider the following statements : 1. The function f(x)=x^(2)+2cosx is increasing in the interval (0,pi) 2. The function f(x)=1n(sqrt(1+x^(2)-x)) is decreasing in the interval (-oo,oo) Which of the above statements is/ are correct ?

Consider the following statements: I. The function f(x)=|x| is not differentiable at x = 1 II. The function f(x)=e^(x) is differentiable at x = 0 Which of the above statements is/are correct?

Statement-I : The maximum value of (logx)/x" in "0ltxltoo" is "2/e Statement-II : y=x^3+1/x^3 is an increasing function in the interval 0ltxlt1 Which of the above statement is true

Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then (a) f(x) is an increasing function in (0,oo) (b) f(x) is a decreasing function in (-oo,oo) (c) f(x) is an increasing function in (-oo,oo) (d) f(x) is a decreasing function in (-oo,0)

Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then (a) f(x) is an increasing function in (0,oo) (b) f(x) is a decreasing function in (-oo,oo) (c) f(x) is an increasing function in (-oo,oo) (d) f(x) is a decreasing function in (-oo,0)

Let f be the function f(x)=cos x-(1-(x^(2))/(2))* Then f(x) is an increasing function in (0,oo)f(x) is a decreasing function in (-oo,oo)f(x) is an increasing function in (-oo,oo)f(x) is a decreasing function in (-oo,0)