which of the following is the derivative of the function )?

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..

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 ) ..

Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to dif..

The graph of a continuous and twice differentiable function f ( x ) is shown . Which of the following can be the graph of its first derivative f ′ ( x )? => Graph A or Graph B or Graph C or Graph D..

So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', then we have to compute the derivative by repeating the same..

x = a is called a point of inflexion. Rolle's theorem: If a function f(x) is such that (i) f (x) is continuous on [a,b] (ii) f (x) is differentiable on (a,b) and (iii) f (a) = f (b) Geometrical interpretation of Rolle's theorem Let AB be the graph of y = f(x) such that A = (a , f(a)) and ..

The Derivative of Some Important Functions are: 1. Derivative of a Constant, 2. Derivative of x n where n is any integer, 3. Derivative of a Constant of a Function, 4. Derivative of Exponential Function..

Derivative of Inverse Trignometric Functions - Before finding the differentiation of inverse trigonometric functions, recall how the inverse trigonometric functions are defined and what the domain and range of each inverse trigonometric function. Fo..

The derivative of the function f with respect to a variable x is the function f ' whose value at x is provided the limit exist..

The Derivative of Inverse Trignometric Functions includes: 1. sin - 1 x, 2. cos - 1 x, 3. tan - 1 x, 4. cot - 1 x, 5. sec - 1 x, 6. cosec - 1 ..