derivative of implicit functions

Which of the following is the derivative of the function f ( x ) = tanh (ln 5 x )? => 1 0 0 x 3 2 5 x 2 + 1 or 1 0 0 x ( 2 5 x 2 + 1 ) 2 or 1 or 1 0 0 x 2 5 x 2 + 1 or - 1 0 0 x ( 2 5 x 2 + 1 ) 2..

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 ) ..

Which of the following is correct for a function that is differentiable at a point x = 3 ? => left hand side derivative = right hand side derivative at x = 3 or left hand side derivative may not be equal to the right hand side derivative at x = 3 or..

Introduction - Integration and differentiation are a pair of inverse operations. So far, from a given function, we have been finding its derivative but the question arises: what is the function whose derivative is known? If the derivative of a ..