Let f(x) = Using the centered 3-point formula for 1t derivatives: %3D (x-2) f'(0) 0.251255 using h = 0.1 f'(0) 0.250313 using h = 0.05 %3D Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: 0.249999 0.234256 199985 0.499998

Q: Let f (x) = Using the centered 3-point formula for 1* derivatives: (x+1)2 f'(0) -2.04061 using h =…

A: given fx=1x+12 f'0≈-2.04061 using h=0.1f'0≈-2.01004 using h=0.05 according to richardson's…

Q: Let f (x) = (x+1)3 Using the centered 3-point formula for 1st derivatives: %3D f'(0) -0.502509 using…

A: At h= 0.1, f'(0) is approximately -0.502509At h= 0.05, f'(0) is approximately -0.500626

Q: In (In e*1): What is the derivative of y 3z²+1

A:

Q: a. h'(1) b.p'(3) 1 3 f(x) f'(x) g(x) 3 4. - 4 -7 -8 -5 1 3 1. 3. g'(x) 8 4719

A: hx=f(g(x))and px=gfx

Q: а. f(-3) %— 4 b. f'(0) = %3D 3 2 c. f'(3) = %3D d. f'(2) -5 –4 –3 -2 –1 1 2 3 4 5

A: To find: f'(-3), f'(0),f'(3),f'(2) Given information: The graph of f(x) is shown below.

Q: Compute the derivatives: d/dx [ f (x)g (x)]

A: Derivative of function of type uv is given by, duvdx=v.dudx+u.dvdx

Q: f(t)=5 sec²(7 Tt – 3)

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: Find the derivative of h(x) = O O a.) h'(x)= b.) c.) d.) ܝܕܝ h'(x) = h'(x) = h'(x)= 2 Waiting for…

A: Solve for the derivative

Q: 2. Fill in the appropriate derivative rule information for the function y (2-e")V6x-1 in the table…

A:

Q: Q2. Evaluate | ydA in two different ways. Here R is the region in the first quadrant bounded by the…

A:

Q: Find the derivative of the function given below. h(w) = 9w arcsin w h'(w) =|0

A:

Q: find: (1)(1)- fog)(a) If k(x)-fCcsz) find k'() COSX

A:

Q: The forward difference approximation to the derivative f(x) = x² sin(2x) at x = π/3 is: (use step…

A: The forward difference approximation to the derivative f(x) = x2 * sin(2x) at x= π/3 (use step size…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: