The approximate value of the derivative of a function f(x) using centered difference approximation is given by Ax + h) – f(x – h) 2h f'(x) = Use the formula above to calculate the approximate derivative of f(x)= 2e* nx for x = 2, accurate to n = 3 significant figures. Start with h = 0.5, the next value of h is one-fifth of the previous value, i.e., 0.5 = 0.1, and so on. Show the first step of your computation, and tabulate the result: h = 5 h s'(2) 0.5 0.1 0.02 where n is the number of significant figures in the accuracy of the approximation.

Q: What is the third derivative of 大 f(x): f(r) = 2 + cosx?

A: The given function is fx=x3+cos x. Evaluate the first derivative of the given function as follows.…

Q: Evaluate the derivative of y = cos '2x - In 1-4x, where x = 0.125 -12> 2

A:

Q: 3x y= + Arccos () V8-x3

A: See the details solution in below

Q: 27. y = x²(1 - In x²)

A: To find the derivative of the following function.

Q: Find the approximate error, relative approximate error, and absolute relative approximate error of…

A: The approximate error is calculated using the formula: Ea=Present value-Previous value. The relative…

Q: Find the derivative of y = tan 3x

A: Given function is: y = tan 3x We have to find the derivative of y with respect to x.

Q: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

Q: The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

A: We have to find the derivative of the following function -  f(x) = 1x3

Q: Find sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.

A: n! = n × (n-1) × (n-2) × (n-3) × (n-4) × ............ × 1

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

A:

Q: Write the differential equation and then determine whether you have overdamped,critically damped,or…

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is…

Q: Use backward-difference formula to evaluate the first derivative of y = ³-4 at x = 0 using a value…

A:

Q: H(x) = sin(esinh~1 *) %3D

A:

Q: Use forward and backward difference formula with h = 0.1 to approximate the derivative of f(x) =…

A: