Which of the following best describe/s the derivative of a function?1. The slope between any two pointsII. The instantaneous rate of changeIII. The maximum or minimum value of a functionO Il onlyO I and IIIl and IIII, Il and III 8. Find the value of c so thatthe given function iscontinuous everywhere. *x + 3,\cx² + 10, x > 3x < 3f(x) =O -4/5O -5/4O -4/9O -9/4

Given function f(x)=x+3,x<3cx2+10,x≥3 The objective is to find the value of c so that the given…

Answered: Which of the following best describe/s…

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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What is another name for the derivative when looking at a function graphically? A triangle that must contain pairs of points whose slopes are the opposite, reciprocal of each other is what kind of triangle? And what would we say the lines are to each other?
2.2 Determine which function is the derivative of the other. Explain your answer. y = f(x) y = g(x)
Determining the average rate of change of a function is equivalent to finding the slope of the tangent to the function. True False
find the derivative of the function.
4. Find all points on the curve y = -x³ +-x* + 6x² where the tangent line is horizontal. 5. Find all x-values in which your function has horizontal tangent lines, f(x) = 2 sin x + x. given 0s x < 2n. 6. Find the equation of the line tangent to the graph of xy + y² = 4 at x = 3. 7. A ball is thrown up from the top of a 48-foot tower with initial velocity of 32 feet per second. Given that the position of the ball at any time t is given bys(t) = -16t2 + 32t + 48, answer the following questions. a. What is the average velocity for the first five seconds the ball is in the air? b. What is the instantaneous velocity 1 seconds after the ball is thrown? C. What is the height of the ball 1 seconds after the ball is thrown? d. At what time does the ball reach its maximum height? e. What is the maximum height of the ball? f. At what time is the velocity of the ball 10 sec g. What is the velocity of the ball when it hits the ground? h. What is the velocity of the ball when it reaches its maximum…

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Which of the following best describe/s the derivative of a function? I. The slope between any two points II. The instantaneous rate of change III. The maximum or minimum value of a function ILonly