derivative of a function in general

What is the derivative of the function y = cosh - 1 ( x - 9 b - 9 )? => 1 2 ( x - 9 ) ( x + b - 1 8 ) or b - 9 x - b or 1 2 ( x - b ) ( x - 9 ) or 1 ( x - b ) ( b - 9 )..

Find the derivative of the function y = sech - 1 ( 1 x + 9 ). => - x 2 + 1 8 x + 8 1 x 2 + 1 8 x + 8 0 or - 1 x 2 + 1 8 x + 8 0 or 1 x 2 + 1 8 x + 8 0 or x 2 + 1 8 x + 8 1 x 2 + 1 8 x + 8 0 or 1 x 2 + 1 8 x + 8 1..

Find the derivative of the function f ( x ) = tanh - 1 (8 - x 2 ). => 2 x 2 - 8 or 2 x x 4 + 1 6 x 2 + 6 3 or 2 x - x 4 + 1 6 x 2 - 6 3 or 2 x x 4 - 1 6 x 2 + 6 3 or 2 x 2 + 8..

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..

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 ) ..