Question

Q7. (a) Write down the formulas for the forward difference, backward difference and central difference approximations for numerical differentiation. (b) Compute the exact derivative of f(x) = cos(x) at x = ?????/3 radians. (c) Compute the derivative of f(x) = cos(x) at x = ?????/3 radians using i. the central difference approximation. Use the step size h = 0.1. ii. the forward difference approximation and the Richardson extrapolation algorithm. Use h = 0.1 and find the number of rows in the Richardson table required to estimate the derivative with five (5) significant decimal digits.

          Q7. (a) Write down the formulas for the forward difference, backward difference and central difference approximations for numerical differentiation.
(b) Compute the exact derivative of f(x) = cos(x) at x = ?????/3 radians.
(c) Compute the derivative of f(x) = cos(x) at x = ?????/3 radians using
i. the central difference approximation. Use the step size h = 0.1.
ii. the forward difference approximation and the Richardson extrapolation algorithm. Use h = 0.1 and find the number of rows in the Richardson table required to estimate the derivative with five (5) significant decimal digits.

Q7. (a) Write down the formulas for the forward difference, backward difference and central difference approximations for numerical differentiation.
(b) Compute the exact derivative of f(x) = cos(x) at x = ?????/3 radians.
(c) Compute the derivative of f(x) = cos(x) at x = ?????/3 radians using
i. the central difference approximation. Use the step size h = 0.1.
ii. the forward difference approximation and the Richardson extrapolation algorithm. Use h = 0.1 and find the number of rows in the Richardson table required to estimate the derivative with five (5) significant decimal digits.

Added by Juan Luis M.

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