Question

Part III We will now find the derivative at a point on the graph of ?...

Part III

We will now find the derivative at a point on the graph of ? = ?^2+ 2?+1

A) Find the slope of the secant line (i.e. average rate of change...) connecting the two points on the graph where x=2 and x=1.96

B) Find the slope of the secant line connecting two points on the graph where x=2 and x=2.001

c) Find the slope of the secant line connecting two points on the graph where x = 2 and x = 2+h.

d) What does you answer to #3 approach as ? → ∞?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the function f(x) = √x and the point P(4,2) on the graph f. a)Graph f...
Consider the function f(x) = √x and the point P(4,2) on the graph f. a)Graph f and the secant lines passing through the point P(4, 2) and Q(x, f(x)) for x-values of 3, 5, and 8. b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(3, f(x))) (line passing through Q(5, f(x))) (line passing through Q(8, f(x))) c)Use the results of part (b) to estimate the slope of the tangent line...
Find the derivative of f(x) - In(2x) 1. what point on the graph of f(x) at...
Find the derivative of f(x) - In(2x) 1. what point on the graph of f(x) at which the tangent line is horizontal? 2. what point on the graph of f(x) at which the tangent is vertical? 3. is there a point on the graph f(x) at which the tangent has a slope 1?
refer to the graph of y=f(x)=x^2+x shown a. Find the slope of the secant line joining(-3,f(-3))...
refer to the graph of y=f(x)=x^2+x shown a. Find the slope of the secant line joining(-3,f(-3)) and (0,f(0)) b. Find the slope of the secant line joining (-3,f(-3)) and(-3+h,f(-3+h)) c . Find the slope of the graph at (-3,f(-3)) d. Find the equation of the tangent line to the graph at (-3,f(-3))
1.) P(2, 4) lies on the graph of y=x4-2x-4 Q is the point (x, x4-2x-4) Write...
1.) P(2, 4) lies on the graph of y=x4-2x-4 Q is the point (x, x4-2x-4) Write an equation for the slope of the secant line through P and Q as a function of x. 2.) Using the formula above, find the slopes fo 1.9, 1.99, 1.999, 2.001, 2.01, and 2.1 (round 4 decimal places) 3.) What is the slope of the tangent line to the curve y=x4-2x-4 at P(2, 4) Can you please explain in detail how to get the...
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative....
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative. Simplify all steps.     a. Find f(x + h).   ____________     b. Find f(x + h) – f(x).   ____________     c. Find [f(x + h) – f(x)] ÷ h.   ____________   d. Find lim (hà0) [f(x + h) – f(x)] ÷ h.   ____________     e. Find an equation of the line tangent to the graph of y = x2 – 8x where x = -3. Present your answer...
find the point on the graph of the given function at which the slope of the...
find the point on the graph of the given function at which the slope of the tangent line is the given slope. f(x) = x^3+12x^2+56+15 slope of the tangent line = 8
a. 6. Complete the following steps: i. Graph the point P(6, -2) ii. Graph another point...
a. 6. Complete the following steps: i. Graph the point P(6, -2) ii. Graph another point Q so that the slope of PQ is equal to -2/3. iii. Use the points P and Q to draw a line on the graph. b. Use your graph to find the y-intercept of the line on the graph. c. Write the equation of the line.
For the function, find the point(s) on the graph at which the tangent line is horizontal....
For the function, find the point(s) on the graph at which the tangent line is horizontal. y=x^3-14x^2+9x+9 Select the correct choice below and if necessary, fill in the answer box to complete your choice. a. The point(s) at which the tangent line is horizontal is(are___ b. The tangent line is horizontal at all points of the graph c. There are no points on the graph where the tangent line is horizontal.
1)         Prove (with an ε- δ proof) limx→22x3-x2-3x=6 2)         fx= x5-5x3       a)   Find the first derivative....
1)         Prove (with an ε- δ proof) limx→22x3-x2-3x=6 2)         fx= x5-5x3       a)   Find the first derivative. b)   Find all critical numbers. c)   Make a single line graph showing where the function is increasing and where it is decreasing. d) Find the coordinates of all stationary points, maxima, and minima. e)   Find the second derivative. Find any numbers where the concavity of the function may change. f) Make a single line graph showing the concavity of the function. Find the coordinates...
Let f(x)=12x2. (a) If we wish to find the point Q=(x0,y0) on the graph of f(x)...
Let f(x)=12x2. (a) If we wish to find the point Q=(x0,y0) on the graph of f(x) that is closest to the point P=(4,1), what is the objective function? (Hint: optimize the square of the distance from P to Q.) Objective function: O(x)=O(x)=____________________________ (b) Find the point Q=(x0,y0)Q=(x0,y0) as described in part (a). Box your final answer. (c) Verify that the line connecting PP to QQ is perpendicular to the line tangent to f(x)f(x) at QQ. Hint: recall that the lines...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT