Given the following function: f(x) = x+ sin(x) at TU Xo = using h = 0.1. 4 A. Use the Forward-Difference Formula to find the approximation for f'(xo)? B. Using the Three-Point Formula find the approximation of the first derivative f'(xo)? C. Use the Five-Point Formula to find the approximation for f'(xo)?

Q: Using all your knowledge acquired in this unit during the last lectures, calculate the derivative of…

A: The given function equation is

Q: O Find the derivative for the function f(x): = 5 x

A:

Q: 5. y = xArcsinx + v1- x² a. Arcsin (x) b. Arctan (x) c. Arccsc (x) d. Arcsec (x)

A:

Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

A:

Q: Find the derivative of the given functions: 1. y = 6+ 4vx csc(x)

A: If u and v are functions of x, then

Q: 2) Consider the function F(x) = ₁ dt. a) Evaluate F (e²). Type the exact answer as an integer. b)…

A:

Q: Given the function f(x) = 3cos(x/2), find the relative extrema on the interval (pi, 7pi) using the…

A: Given that: f(x)=3.cosx2       in (π, 7π)

Q: The second derivative of a curve C at any point is d2y/dx2 = sec2x tan x. If 2 is the slope of the…

A:

Q: Given: f(x) = 1– sin² 4x . find the 5th derivative

A:

Q: ex - 4 f(x) x2 - 1

A: see 2nd step

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Consider the equation as shown below: Here, And the object is to derivative of y.

Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is