Let f (x) = Using the centered 3-point formula for 1* derivatives: (x+1)2 f'(0) -2.04061 using h = 0.1 f'(0) N -2.01004 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is 0 1.99985 -0.499998

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to comput derivatives. a. h'(2) b. p'(1)…

A:

Q: (g) Suppose the first derivative of f(x) is f'(z) = z - 62 + 11z – 6. Where is f(z) increasing? Use…

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = cot(x) at x = using a value…

A: We have to evaluate the first derivative of y=cotx at x=π2 using a value of h=π4 by using…

Q: Consider the graph of y = f(x) shown below in blue. Drag the movable red point to approximate the…

A:

Q: For the function y = f(a) in the figure below, sketch the graph of its derivative function, y =…

A: We will use the given graph of f to find the equation of f on different regions and then use that…

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

A:

Q: Let f(x) = Using the centered 3-point formula for 1t derivatives: %3D (x-2) f'(0) 0.251255 using h =…

A: According to the Richardson's extrapolation formula, the true value of the derivative at any point x…

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

A: Solution:

Q: Find the numerical second derivative value f''(0.5) from the data set using the finite difference…

A: given the function is f(x)=x3+0.4x2+x find the derivative  f'(x)=3x2+0.8x+1 again find the second…

Q: Given the derivative f'(x), find the x-value for all relative extrema for the graph of the original…

A: Consider the given derivative. f'x=x2−5x+6 Put the first derivative equal to zero.…

Q: Use forward, backward and central difference approximations to estimate the first derivative of:…

A:

Q: 0,2 0,3 0,4 0,5 0,6 X f(x) 0,224 0,363 0,528 0,725 0,960

A:

Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

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

A:

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Differentiate given function at given value

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

A: The Richardson's extrapolation for the centered 3 point formula is f'x0=Ah2+Ah2-Ah3. Here Ah,Ah2 are…

Q: Use the following table to determine the indicated derivatives or state that the derivative cannot…

A:

Q: Use the rules of differentiation to find the derivative of the function y= 3+6sin: a. y' = 3+6cosx…

A: To find the derivative of the below function. y=3+6sinx