differentiability at a point

A function f(x) is said to be differentiable at a point 'a' if (i) both Rf '(a) and Lf '(a) exists and finite. (ii) Rf '(a) = Lf '(..

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 f (3) does not exist or the f..

>does not exist, then we say that the function is not differentiable. If the above limit exists, we say the function f(x) is differentiable. In order to test the differentiability of a function at a point, the right hand derivative and left hand derivatives a..

Summary Differentiation - A function f(x) is said to be derivable at a point x = a if A function f(x) is said to be derivable at a point x = a if Left hand derivative Lf '(a) Right hand derivative Rf '(..

. When a polynomial function P is differentiated, the result is a polynomial whose degree is 1 less than the degree of P. When a polynomial function P is integrated, the result is a polynomial whose degree is 1 more than that of P. 6. We can speak of the derivative of a function at a ..

Degree and order of a differential equation How to form a differential equation Types of differential equations and their general solution..

The graph of a continuous and twice differentiable function f ( x ) is shown . Which of the following is true in the case of f ( x ) ? => (2, 1) is the point of maximum of f ( x ) or f ( x ) decreases for x < 2 or (2, 1) is the point of mini..

f ( x ) is a continuous, twice differentiable function. The graph of f ″ ( x ) is given. Which one of the following is true in the case of f ( x ) ? => f ( x ) has a point of inflection at x = 0 or f ( x ) has a ..

Growth in plants occurs by cell division and cell enlargement, followed by cell differentiation. Growth in plants is generally limited to regions of growing points known as meristems . The two important growing points present in the root apex and stem apex are called a..

The decay rate of radium at any point t is proportional to its mass at that time. The mass is M 0 at time t = 0. Form the differential equation and find the time when the mass will be halve..