1 0.0207 0.1617 0.3012 0.4376 0.5697 0.8 0.9 1.1 1.2 f(r;) = Yi 1-Calculate the values f'(0.8) and f'(1.2) approximately using the 3-point forward or backward difference formulae with the best approach.

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: If ƒ(x) ƒ'(x) = - 53 x - 7' what's f'(x)?

A:

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D…

A: We can find the tangent equation and normal equation as below.

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: 81. Let f be a function with derivative given by f'(x)=√x3+1. What is the length of the graph of y =…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: Given the graph of a function f(x), sketch the graph of the derivative on the axes below: f(x)

A: Given: The graph of the function f(x) is given. To find: The graph of the derivative function:…

Q: Given f"(x) = -7x³ – 7a? + 7x + 10, f'(1) = 7, and f(1) = 5. Find f'(x) and f(x). Part 1: Find the…

A:

Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Easy to handle two variables rather than three variables, so i substitute by a variables by other…

Q: Evaluate ff(zk). dS, where S is the part of the sphere x² + y² + z² = 4z oriented outward that lies…

A: Gauss Divergence theorem

Q: 11. f(x) = 4x³ In(5x² +1)

A: Topic-Derivative of a function We are given,f(x)=4x3ln(5x2+1)we know…

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

A:

Q: Use a graphing calculator to find f'(x) when x has the given value. f(x) = x^; x= 2

A: Given,           fx=xx3 ; x=2

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: 3. In your own words, using full sentences, describe how L'Hopital's Rule works. For example:…

A: we need to write down the working of L-hospital rule.

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 the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

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

A:

Q: Estimate f'(2.37) from the following data X f(x) Justify your method of choice. 2.36 2.37 2.38 2.39…

A: By Newtons forward method:At x=x1, dydx=1h[∆y1-12∆2y1+13∆3y1-14∆4y1]

Q: In the tables below, use the most accurate three-point formula (forward difference / back difference…

A:

Q: 8. (15 points) (a) Use the two-point forward difference formula and the two-point backward…

A:

Q: 6. D, (Inx) 7. D, (3x + 4x5) 8. D, (40x) 9. D, (E) 10. D.

A: Find your answer below

Q: Use the second forward, backward and central divided difference equations to estimate the second…

A:

Q: f(x) g(x) h(x) = ;a = 3 f(x) f'(x) g(x) g'(x) 0. 2 0. 2. -1 3. 7. -7 7. h'(a) = %3D 3, 2. 2. 5. 2.…

A:

Q: ). Prove that the derivative of an even function is odd and that the derivative of an odd function…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.