derivatives of functions

Let f be a differentiable function on an interval I and let a I. Let f "(a) be continuous at a. Then i) 'a' is a point of local maxima if f '(a) = 0 and f "(a) < 0 ii) 'a' is a point of local minima if f '(a) = 0 and f "(a) > 0 iii) The test fails if f '(a) = 0 and f "(a) = 0. In th..

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..

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 left hand derivative for the function g ( x ) = cx + d at x = 3. => c or 3 c + d or - c or - 3 c + d or 0..

Let f (x) be the real valued differentiable function..

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..

Functions Limits and Continuity - The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the ..