The figure shows the graphs of {image} , {image} , {image}

Slides:

Advertisements

Similar presentations

P449. p450 Figure 15-1 p451 Figure 15-2 p453 Figure 15-2a p453.

Advertisements

1 CALCULUS Even more graphing problems

Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

P247. Figure 9-1 p248 Figure 9-2 p251 p251 Figure 9-3 p253.

Differential Equations and Slope Fields 6.1. Differential Equations  An equation involving a derivative is called a differential equation.  The order.

Implicit Differentiation. Implicitly vs. Explicitly Defined Functions y is given explicitly as a function of x (y is solved in terms of x) y is given.

Global Benchmark Report 24.mar. 14 Global Benchmark Report 2014 Graphs and benchmark figures from: Africa: Open for business.

Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with.

Figure S1 Correlation graph of manual and automatic counting results for day 5.

Chain Rules for Functions of Several Variables

Notes Over 2.1 Graph the numbers on a number line. Then write two inequalities that compare the two numbers and and 9 l l l.

Use a graphing calculator or computer to determine which viewing rectangle produces the most appropriate graph of the function {image} Choose the answer.

What is the average rate of change of the function f (x) = 8 x - 7 between x = 6 and x = 7? Select the correct answer:

Approximate the area of the shaded region under the graph of the given function by using the indicated rectangles. (The rectangles have equal width.) {image}

The graph of function f is given. State the value of f(-1). {applet}

Find the domain of the function: {image} .

Here is the graph of a function

Use a graphing calculator to determine the graph of the equation {image} {applet}

Chapter 3 Derivatives.

2.5 Implicit Differentiation

Differentiate the function. {image}

Determine f(x) from the table: x f(x) -1 0

Find the first partial derivatives of the function. {image}

Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx / dy. y 4 + x 2y 2 + yx 4 = y + 7 {image}

Which of the following graphs is the graph of the derivative of the function {image} . 1. {applet}

The graph of function f is given. State the value of f(-1). {applet}

(4, 0) (0, 4) (2, 0) (-4, 0) (0, -4) (0, 2) None of these choices

Find the inflection points of the following function: f ( x ) = 9 x sin x {image}

Implicit Differentiation

Express the given quantity as a single logarithm: {image} Choose the answer from the following: ln 515 ln 514 ln 509 ln 513 ln 503 ln

A function is given by a formula. Determine whether it is one-to-one

The graph of a function f(x) is given below

Find the foci of the hyperbola 16 x y 2 = 400

List all possible rational zeros given by the rational zeros theorem (but don't check to see which actually are zeros). {image} Choose the answer.

Graph 2 Graph 4 Graph 3 Graph 1

Consider the function {image} and find the value of {image} Choose the correct answer from the following:

Find the inflection points of the following function: f ( x ) = -7 x sin x {image} {image}

Use a table of values to estimate the value of the limit. {image}

x = 4y - 4 x = 4y + 4 x = 4y - 1 y = 4x - 4 y = 4x - 1 y = 4x + 4

Implicit Differentiation

Find the exact value of the expression: {image} Choose the answer from the following:

-20 is an absolute minimum 6 is an absolute minimum

Indicate all x- and y-intercepts on the graph of the function y = x Choose the correct answer from the following: x-intercept (4,0), y-intercept.

Find the local minimum value of {image} {applet}

What is the function of the graph? {applet}

A graphing calculator is required for some problems or parts of problems 2000.

Graph the function, not by plotting points, but by starting with the graph of the standard functions {image} given in figure, and then applying the appropriate.

Which of the following graphs corresponds to the inequality {image} ?

Graph 2x + 4y = 16 by finding the x and y intercepts.

Find {image} by implicit differentiation: {image} .

Differentiate the function: {image} .

Use power series to solve the differential equation. y ' = 7xy

Determine the graph of the given function. {image}

What is the function of the graph? {applet}

Use the given graph of f ( x ) = {image} to find a number {image} such that {image} {applet}

Choose the differential equation corresponding to this direction field

Choose the equation which solution is graphed and satisfies the initial condition y ( 0 ) = 8. {applet} {image}

If {image} , then if {image} exists, to what value does it converge

Use the graph of f to find the following limit. {image} {applet}

Choose the correct translation from pre-image to image B

For the function f whose graph is given, state the limit

Which equation does the function {image} satisfy ?

If {image} choose the graph of f'(x).

Sketch the curve. {image}

Find the following limit. {image}

Which of the following expressions is the equation of the function {image} {applet}

Find the limit {image} ,024 2,160 -1,

Presentation transcript:

The figure shows the graphs of {image} , {image} , {image} The figure shows the graphs of {image} , {image} , {image} . Which of the graphs is the graph of {image} ? {applet} Graph 3 Graph 2 Graph 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find y '' by implicit differentiation {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50