Question

23 : Numerical differentiation can be used only when the difference of
some order are
2596983465
equally spaced
unequally spaced
constant
independent​

Answer 1

Answer:

Newton – Gregory Forward Interpolation formula is given by

f(x) = y0 + nΔy0 + n(n-1)Δ2y0/2! + n(n-1)(n-2) Δ3y0 /3! + …..

This formula is obtained by the Newton’s Divided difference formula by substituting the intervals as h. This is done because we assume the intervals to be constant, that is, equally spaced.

Hope this answer helped you out , have a nice day

Answer 2

Answer:

The correct answer is : constant.

Numerical differentiation can be used only when the difference of some order are constant.

Explanation :

• The process of numerical differentiation entails computing a function's derivative from known values of the function.
• The numerical solution of differential equations is based on such formulas.
• Numerical differentiation techniques in numerical analysis estimate the derivative of a mathematical function or function subroutine using the function's values and maybe additional function-related information.
• Finite difference approximations are the simplest approach.
• This is a Newton's difference quotient expression (also known as a first-order divided difference).
• Directly calculating the derivative in indefinite form can be confusing. Positions (x - h) and x could be used to estimate the slope equivalently.
• The numerical differentiation problem can be approached in a number of different ways.
• Engineers most frequently utilise the finite difference method since it is the simplest and most widely used.
• One drawback of this approach is that, even if we have a lot of data, we may not be able to use it all if the data contains errors.

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