derivative of odd function

Does the function f ( x ) = 5| x | have a derivative at x = 0? => No or Yes..

Find the numerical derivative of the function f ( x ) = 3 - 4 x 3 at x = 2 by using NDER on a calculator. => 0 or 48 or 1 or - 48..

Find the numerical derivative of the function f ( x ) = ln 9 x at x = 3 by using NDER on a calculator. => 0 or 1.5 or 0.333 or -1..

Find the numerical derivative of the function f ( x ) = 3 cos x at x = π by using NDER on a calculator. => 0 or 3.000 or π or - 3.000..

What is the second derivative of the function f ( x ) = 7 x 6 5 ? => - 42 / 25 x - 6 / 5 or 42 / 5 x - 6 / 5 or 42 / 25 x - 4 / 5 or - 42 / 25 x 6 / 5..

If a function f is defined by f ( x ) = 3 x 3 - 3 kx 2 + 3 x , x ∈ R is an odd function, then find k . => 1 or -1 or 2 or 0..

Find the derivative of the function y = 1 sin 2 2 x + cos 2 4 x => III or IV or II or I or V..

Which of the following is true for the function f ( x ) = sin 2 x ? I. f ( x ) is an odd function II. f ( x ) is symmetric about origin III. f ( x ) is symmetric about y - axis IV. f ( x ) is not symmetric V. f (- x ) = f ( x ) => V only or I and II or III only or III ..

Consider a continuous and derivable function f ( x ) with the following: f (-1) = 0 f (0) = 1 f (3) = 0 f ( x ) is maximum at x = 0 Which of the following would be the graph of f ′ ( x )? => Graph A or Graph B or Graph C or Graph D..

Which of the following is the derivative of the function f ( x ) = 1 / 4 coth ( x 4 ) - 1 / 12 coth 3 ( x 4 )? => - 1 / 16 cosech 4 ( x 4 ) or cosech 2 ( x 4 ) + 1 4 cosech 4 ( x 4 ) or 1 / 4 cosech 2 ( x 4 ) + 1 1 6 cosech 4 ( x 4 ) or - 1 / 4 cosech 4 ( x 4..