True or False :
Derivative of an even function is always an odd function.

Statement I Integral of an even function is not always an odd function. Statement II Integral of an odd function is an even function .

True or False : An increasing function is always a continuous function.

True or false In an LPP, the objective function is always a linear function.

Left hand derivative and right hand derivative of a function f(x) at a point x=a are defined as f'(a^-)=lim_(hrarr0^(+))(f(a)-f(a-h))/(h) =lim_(hrarr0^(+))(f(a+h)-f(a))/(h) andf'(a^(+))=lim_(hrarr0^(+))(f(a+h)-f(a))/(h) =lim_(hrarr0^(+))(f(a)-f(a+h))/(h) =lim_(hrarr0^(+)) (f(a)-f(x))/(a-x) respectively. Let f be a twice differentiable function. We also know that derivative of a even function is odd function and derivative of an odd function is even function. If f is even function, which of the following is right hand derivative of f' at x=a?

True or False statements: A one-one function is always an increasing function.

True or False : The determinant of an identity matrix is always 1.

Which of the following functions is an odd function?

True or False statements: A strict monotone function is always one-one.

True or False statements : Every function is invertible.