30 27 24 21- 18 15 12 -4 For the above function f( x ) = 7 - 1.45*, estimate f (1) using h = 0.001 for the following three values. f'(2.5)- f"(3) - f"(3.75)

Q: Given the function f(x) = x³ - 3x², find x for which f'(x) = 0 1 2 2 x = 0; x = 1 4 x = 0; x = 4 3 x…

A: Given : f(x) = 1/2x^3 - 3x^2             Because f(x) = y               Now we derivative f(x) with…

Q: Question number 2.

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Q: . Use a cofunction relationship to show that the product (tan 1°)(tan 2°) (tan 3°)· .…. ·…

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Q: 250 4. Use second derivative test to determine the relative extrema of the function: f(x) = x2 +

A:

Q: f(x) = (x² + In x)(x³ + 4x + 5) f(x) = (x2+5x) In x (Vx-6x)e* %3D

A: We have to find the derivative for each of the functions. 1. fx=x2+lnxx3+4x+52. f(x)=x2+5xlnxx-6xex

Q: 3 The graphs of several functions f(x) for which f'(x) = - is X shown. Find the expression for the…

A: Given f'(x)=3/x and f(x) passes through the point (1,4).

Q: Given this graph of f'(x), prove which of the following symbols is appropriate to put in the blank.…

A: Here, from the given graph: f'(x)<0 on (-∞,-2)∪(0,6) So, f is decreasing on -∞,-2)∪(0,6

Q: Consider the following. f (x) = x² - 8x x²-x (a) Evaluate the function at the given numbers (correct…

A: Given: fx=x2-8xx2-x-2 To find: a) Evaluate the function at the given points and tabulate the…

Q: 6 Given two functions f (x) and g (x)you are told (æ) = 7 (x) + g(x).which one of the following is…

A: Given h(x) = f(x) + g(x)

Q: Which number is the value of F'(-2)? Review the table of values for function f(x). O -8 f(x) O -7 -2…

A: Given:  To find: Which number is the value of f-1-2

Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is…

A: Let's find.

Q: 2. Below is the graph of f'(x). For what values of x is f(x) decreasing? Explain. ↑f'(x) 5 3 2 -1 -2…

A: Topic = Functions

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x>0

Q: If f(3) 5 and f '(x) 2 2 for 3 < x < 5, how small can f(5) possibly be? Need Help? Read It Watch It

A: Given f(3) = 5 and f'(x) ≥ 2 for 3 ≤ x ≤ 5 We have to find the minimum value of f(5). Let us…

Q: -5 -4 -3 -2 5 4 3 2 -1 -1 1 2 4

A: A graph of the function is given.The aim is to find the values of  for which .

Q: 5. (Refer to the graph of f below) For what value of x is the derivative off equal to zero? 2 -4 -3…

A: Consider the graph

Q: (c) Find the average rate of change for f(r) on the interval (6,6.001]. (Note: h = 6.001 – 6 =…

A: NOTE: Refresh your page if you can't see any equations. . on the interval [6,6.1], the average rate…

Q: 40. Define the function f by f(x) = tan (e*). The graph of f intersects the x-axis once in the…

A: f(x) = tan(ex ) f'(x) = sec2(ex) . ddxex f'(x) = sec2(ex). ex

Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: -2 -1 3 pove function f(x ) = 2 1.2", estimate f'(x) using h = 0.001 for the following three val

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: You are given the graph of f(x) shown below. f(x) AV Which of the following could be a graph of…

A: