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: 39.3

A:

Q: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

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: Determine z for the following of a. (Round your answers to two decimal places.) USE SALT (a) a =…

A: a)α=0.0051

Q: Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14

A: Given the tablewe have to find the value of f'(-12)

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

A: We are given the function f(x)=5x5+3x3+2x+1 and the step size as h=0.5. As we are given no…

Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

Q: Differentiate the function with respect to the independent variable. 4x f(x) = In 9+ 5x? f'(x) =O…

A: We have to differentiate the following function: fx=ln4x9+4x2 Simplifying the function using…

Q: A ball is dropped from the top of a building. The height of the ball in metres above the ground at :…

A: The equation of the height of the ball is provided as h(t)=-4.9t2+19.6. We need to determine the…

Q: explain how to find the greatest values for f(x) and least values for f(x). given the f’(x) above…

A: we have to explain that how to find the maximum and minimum values by the help of the given…

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: 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: Find the derivative of h(x) = In 25

A:

Q: Find the derivative of ƒ(x) = x³e².5¹. f'(x)

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.