2. During the class, we derived in detail the first order Richardson extrapolated derivative, by using h→ h/2, D(¹) = = f'(xo) h4 480 Using h→ h/2, derive the expression for D(2) which is the second order Richardson extrapolation. Now starting from the definition of D₁ and using h → h/3, derive the expression for D1¹). (a) (b) ƒ(5) (xo) + 0(hº).

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

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Q: 01:- Find the first order derivative of each of the following functions: (1+x)3 sec(x2) y = ex.sin2…

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Q: A poll commissioned by a politician estimates that t days after he makes a statement degenerating…

A: Given,           A poll commissioned by a politician estimates that t days after he makes a…

Q: 5. Second derivative of y = 1+t)< t2

A: Given: y = 1+t2t2 To find: Second derivative of the given function.

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: Consider the function f(x) = 3x² + 30x + 83 Determine an expression for the derivative of f(x).

A: f(x)=3x2+30x+83

Q: The derivative of the function f is given by f'(x) = - 2(x - 3)-3. Find an equation of the line to…

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Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: (d) Use the following table to evaluate each derivative. I 0 1 2 f(x) 1 3 -2 g(x) f'(x) 1 2 4 -3 0.5…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: (b) A poll commissioned by a politician estimates that t days after he makes a statement denegrating…

A: Given, S(t)=75(t2-3t+25)t2+3t+25 (i) Approval Rate,…

Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the derivative of each of the following functions. a) f(r) - VE+-+ V2 +e" b) f(r) – (e*+2)ln(5…

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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: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions

Q: Find the derivative of h(x) = e³ + Vx + lnx. I

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Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get…

Q: the derivative for:

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Q: 1- If x? + 2xy = y², then 2 is: dx (e) x+1 (a) y-x x+y (c) (d) —х (b) 2x + 2y ソーズ

A: