When you see
Download
1 / 123

When you see - PowerPoint PPT Presentation


  • 73 Views
  • Updated On :

When you see…. You think…. Find the zeros. To find the zeros. When you see…. Find equation of the line tangent to f ( x ) at ( a , b ). You think…. Equation of the tangent line. When you see…. Find equation of the line normal to f ( x ) at ( a , b ). You think….

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'When you see ' - eddy


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
When you see l.jpg

When you see…

You think…

Find the zeros



Slide3 l.jpg

When you see…

Find equation of the line tangent to f(x) at(a, b)

You think…



Slide5 l.jpg

When you see…

Find equation of the line normal to f(x) at(a, b)

You think…



Slide7 l.jpg

When you see…

Show that f(x) is even

You think…



Slide9 l.jpg

When you see…

Show that f(x) is odd

You think…



Slide11 l.jpg

When you see…

Find the interval where f(x) is increasing

You think…


F x increasing l.jpg
f(x) increasing


Slide13 l.jpg

When you see…

Find the interval where the slope of f (x) is increasing

You think…


Slope of f x is increasing l.jpg
Slope of f (x) is increasing


Slide15 l.jpg

When you see…

Find the minimum value of a function

You think…



Slide17 l.jpg

When you see…

Find the minimum slope of a function

You think…



Slide19 l.jpg

When you see…

Find critical numbers

You think…



Slide21 l.jpg

When you see…

Find inflection points

You think…



Slide23 l.jpg

When you see…

Show that exists

You think…


Show exists l.jpg
Show exists

Show that


Slide25 l.jpg

When you see…

Show that f(x) is continuous

You think…


F x is continuous l.jpg
.f(x) is continuous


Slide27 l.jpg

When you see…

Find vertical

asymptotes of f(x)

You think…


Find vertical asymptotes of f x l.jpg
Find vertical asymptotes of f(x)

Factor/cancel f(x)

Set denominator = 0


Slide29 l.jpg

When you see…

Find horizontal asymptotes of f(x)

You think…



Slide31 l.jpg

When you see…

Find the average rate of change of f(x) at[a, b]

You think…


Average rate of change of f x l.jpg
Average rate of change of f(x)

Find

f (b) - f ( a)

b - a


Slide33 l.jpg

When you see…

Find the instantaneous rate of change of f(x)

on[a, b]

You think…



Slide35 l.jpg

When you see…

You think…



Slide37 l.jpg

When you see…

Find the absolute minimum of f(x) on[a, b]

You think…



Slide39 l.jpg

When you see…

Show that a piecewise function is differentiable at the point awhere the function rule splits

You think…



Slide41 l.jpg

When you see…

Given s(t) (position function), findv(t)

You think…



Slide43 l.jpg

When you see…

Given v(t), find how far a particle travels on[a, b]

You think…



Slide45 l.jpg

When you see…

Find the average velocity of a particle

on[a, b]

You think…



Slide47 l.jpg

When you see…

Given v(t), determine if a particle is speeding up at

t = k

You think…



Slide49 l.jpg

When you see…

Given v(t) and s(0),

find s(t)

You think…



Slide51 l.jpg

When you see…

Show that Rolle’s Theorem holds on[a, b]

You think…



Slide53 l.jpg

When you see…

Show that the Mean Value Theorem holds

on[a, b]

You think…



Slide55 l.jpg

When you see…

Find the domain

of f(x)

You think…



Slide57 l.jpg

When you see…

Find the range

of f(x) on [a, b]

You think…



Slide59 l.jpg

When you see…

Find the range

of f(x) on

You think…



Slide61 l.jpg

When you see…

Find f ’(x) by definition

You think…


Find f x by definition l.jpg
Find f ‘( x) by definition


Slide63 l.jpg

When you see…

Find the derivative of the inverse of f(x) at x = a

You think…



Slide65 l.jpg

When you see…

Value ofy is increasing proportionally to y

You think…


Value of y is increasing proportionally to y l.jpg
Value of.y is increasing proportionally to y


Slide67 l.jpg

When you see…

Find the line x = c that divides the area under f(x) on [a, b] into two equal areas

You think…



Slide69 l.jpg

When you see…

You think…



Slide71 l.jpg

When you see…

You think…



Slide73 l.jpg

When you see…

The rate of change of population is …

You think…


Rate of change of a population l.jpg
Rate of change of a population


Slide75 l.jpg

When you see…

The line y = mx + b is tangent to f(x) at (a, b)

You think…


Y mx b is tangent to f x at a b l.jpg
.y = mx+b is tangent to f(x) at (a,b)


Slide77 l.jpg

When you see…

Find area using left Riemann sums

You think…



Slide79 l.jpg

When you see…

Find area using right Riemann sums

You think…



Slide81 l.jpg

When you see…

Find area using midpoint rectangles

You think…



Slide83 l.jpg

When you see…

Find area using trapezoids

You think…



Slide85 l.jpg

When you see…

Solve the differential equation …

You think…



Slide87 l.jpg

When you see…

Meaning of

You think…



Slide89 l.jpg

When you see…

Given a base, cross sections perpendicular to the x-axis that are squares

You think…



Slide91 l.jpg

When you see…

Find where the tangent line to f(x) is horizontal

You think…



Slide93 l.jpg

When you see…

Find where the tangent line to f(x) is vertical

You think…



Slide95 l.jpg

When you see…

Find the minimum acceleration given v(t)

You think…



Slide97 l.jpg

When you see…

Approximate the value f(0.1) of by using the

tangent line to f atx = 0

You think…



Slide99 l.jpg

When you see…

Given the value of F(a) and the fact that the

anti-derivative of f is F, findF(b)

You think…


Given f a and the that the anti derivative of f is f find f b l.jpg
Given F(a) and the that the anti-derivative of f is F, find F(b)


Slide101 l.jpg

When you see…

Find the derivative of

f(g(x))

You think…



Slide103 l.jpg

When you see…

Given , find

You think…



Slide105 l.jpg

When you see… area under the curve

Given a graph of

find where f(x) is

increasing

You think…



Slide107 l.jpg

When you see… area under the curve

Given v(t) and s(0),find the greatest distance from the origin of a particle on [a, b]

You think…


Given v t and s 0 find the greatest distance from the origin of a particle on a b l.jpg
Given area under the curvev(t) and s(0), find the greatest distance from the origin of a particle on [a, b]


Slide109 l.jpg

When you see… area under the curve

Given a water tank with g gallons initially being filled at the rate of F(t) gallons/min and emptied at the rate of E(t) gallons/min on

, find


Slide110 l.jpg

You think…



Slide112 l.jpg

b) the rate the water area under the curve

amount is changing

at m

You think…



Slide114 l.jpg

c) the time when the area under the curve

water is at a minimum

You think…



Slide116 l.jpg

When you see… area under the curve

Given a chart of x and f(x) on selected values between a and b, estimate where c is between aandb.

You think…


Slide118 l.jpg

When you see… area under the curve

Given , draw a

slope field

You think…


Draw a slope field of dy dx l.jpg
Draw a slope field of dy/dx area under the curve


Slide120 l.jpg

When you see… area under the curve

Find the area between curves f(x) and g(x) on[a,b]

You think…



Slide122 l.jpg

When you see… area under the curve

Find the volume if the area between thecurves f(x) and g(x) is

rotated about the x-axis

You think…



ad