Interactive: Dynamic Figure 5.5.2This dynamic figure uses a monotone increasing function toshow some of the justification for Part II of the FundamentalTheorem of Calculus.The area under the graph of y = f(x) from x to x + h isshown. Drag the movable points across the x-axis to changethe size of h.y= f(t)Because f is assumed to be continuous, what is true when his small?None of the answers is correct.f(x + h)O S(x + h) is almost equal to f(x) · hO f(x + h) is almost equal to f(x)O f(x + h) is approximately equal to f'(x) · hf(x)x x+ha

m = The slope of f(x) in 'x' to 'x+h' Hencem=∆f(x)∆x =f(x+h) - f(x)hWhen h→0∆f(x)∆x →f'(x) and…

Interactive: Dynamic Figure 5.5.2 This dynamic figure uses a monotone increasing function to show some of the justification for Part II of the Fundamental Theorem of Calculus. The area under the graph of y = f(x) from x to x + h is y shown. Drag the movable points across the x-axis to change the size of h. y= f(t) Because f is assumed to be continuous, what is true when k is small? None of the answers is correct. f(x + h) f(x + h) is almost equal to f(x) · h f(x) f(x + h) is almost equal to f(x) O f(x + h) is approximately equal to f'(x) · h x x+h

Interactive: Dynamic Figure 5.5.2 This dynamic figure uses a monotone increasing function to show some of the justification for Part II of the Fundamental Theorem of Calculus. The area under the graph of y = f(x) from x to x + h is y shown. Drag the movable points across the x-axis to change the size of h. y= f(t) Because f is assumed to be continuous, what is true when k is small? None of the answers is correct. f(x + h) f(x + h) is almost equal to f(x) · h f(x) f(x + h) is almost equal to f(x) O f(x + h) is approximately equal to f'(x) · h x x+h

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Interactive: Dynamic Figure 5.5.2
This dynamic figure uses a monotone increasing function to
show some of the justification for Part II of the Fundamental
Theorem of Calculus.
The area under the graph of y = f(x) from x to x + h is
shown. Drag the movable points across the x-axis to change
the size of h.
y= f(t)
Because f is assumed to be continuous, what is true when h
is small?
None of the answers is correct.
f(x + h)
O S(x + h) is almost equal to f(x) · h
O f(x + h) is almost equal to f(x)
O f(x + h) is approximately equal to f'(x) · h
f(x)
x x+h
a

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