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3.7 Implicit Differentiation

3.7 Implicit Differentiation

3.7 Implicit Differentiation. Niagara Falls, NY & Canada. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. F4. F3. 2. On the sending unit, press , and then . . 2nd. VAR-LINK. 2nd.

By Roberta
(529 views)

Greg Kelly, Hanford High School, Richland, Washington

Greg Kelly, Hanford High School, Richland, Washington

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 7.3 day 2. Disk and Washer Methods. Limerick Nuclear Generating Station, Pottstown, Pennsylvania. Suppose I start with this curve.

By Jimmy
(299 views)

8.2 Relative Rates of Growth

8.2 Relative Rates of Growth

8.2 Relative Rates of Growth. Greg Kelly, Hanford High School, Richland, Washington. At 64 inches, the y-value would be at the edge of the known universe! (13 billion light-years). The function grows very fast. We could graph it on the chalkboard: .

By Mercy
(235 views)

3.2 Differentiability

3.2 Differentiability

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 3.2 Differentiability. Arches National Park. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. Arches National Park.

By lilly
(197 views)

Greg Kelly, Hanford High School, Richland, Washington

Greg Kelly, Hanford High School, Richland, Washington

Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington. 7.5 part 1 Work and Pumping Liquids. Hoover Dam Nevada & Arizona. Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington. Hoover Dam Powerhouse Nevada & Arizona.

By honora
(138 views)

6.4 Exponential Growth and Decay

6.4 Exponential Growth and Decay

6.4 Exponential Growth and Decay. Glacier National Park, Montana Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington.

By toni
(180 views)

3.3 Rules for Differentiation

3.3 Rules for Differentiation

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 3.3 Rules for Differentiation. Colorado National Monument. The derivative of a constant is zero. If the derivative of a function is its slope, then for a constant function, the derivative must be zero.

By nonnie
(118 views)

1.4 Parametric Equations

1.4 Parametric Equations

Photo by Greg Kelly, 2005. Greg Kelly, Hanford High School, Richland, Washington. 1.4 Parametric Equations. Mt. Washington Cog Railway, NH. We can do this by writing equations for the x and y coordinates in terms of a third variable (usually t or ).

By morag
(131 views)

3.9: Derivatives of Exponential and Logarithmic Functions

3.9: Derivatives of Exponential and Logarithmic Functions

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. Mt. Rushmore, South Dakota. 3.9: Derivatives of Exponential and Logarithmic Functions. Look at the graph of . If we assume this to be true, then:. The slope at x=0 appears to be 1. definition of derivative.

By ellie
(147 views)

8.3 Relative Rates of Growth

8.3 Relative Rates of Growth

8.3 Relative Rates of Growth. Greg Kelly, Hanford High School, Richland, Washington. At 64 inches, the y-value would be at the edge of the known universe! (13 billion light-years). The function grows very fast. We could graph it on the chalkboard: .

By saffron
(238 views)

2.4 Rates of Change and Tangent Lines

2.4 Rates of Change and Tangent Lines

Photo by Vickie Kelly, 1993. Greg Kelly, Hanford High School, Richland, Washington. 2.4 Rates of Change and Tangent Lines. Devil’s Tower, Wyoming. The slope of a line is given by:. The slope at (1,1) can be approximated by the slope of the secant through (4,16).

By leia
(122 views)

Olympic National Park, Washington

Olympic National Park, Washington

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. 4.6: Related Rates. Olympic National Park, Washington. Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. 4.6: Related Rates. Olympic National Park, Washington.

By chip
(175 views)

100

100

z. 100. An Introduction to Partial Derivatives. 10. y. 10. x. Greg Kelly, Hanford High School, Richland, Washington. When we have functions with more than one variable, we can find partial derivatives by holding all the variables but one constant. z. 100. 10. y. 10. x.

By lyre
(103 views)

Golden Spike National Historic Site, Promontory, Utah

Golden Spike National Historic Site, Promontory, Utah

Photo by Vickie Kelly, 1999. Greg Kelly, Hanford High School, Richland, Washington. 7.4 Day 1 Lengths of Curves. Golden Spike National Historic Site, Promontory, Utah. Length of Curve (Cartesian). Lengths of Curves:.

By ban
(163 views)

7.4 Day 2 Surface Area

7.4 Day 2 Surface Area

7.4 Day 2 Surface Area. (Photo not taken by Vickie Kelly). Greg Kelly, Hanford High School, Richland, Washington. r. Surface Area about x -axis (Cartesian):. To rotate about the y -axis, just reverse x and y in the formula!. Surface Area:.

By suchi
(118 views)

9.2 day 2

9.2 day 2

9.2 day 2. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. Maclaurin Series. Liberty Bell, Philadelphia, PA. Maclaurin Series:. (generated by f at ).

By morgana
(91 views)

9.2 day 2

9.2 day 2

9.2 day 2. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. Finding Common Maclaurin Series. Liberty Bell, Philadelphia, PA. Maclaurin Series:. (generated by f at ).

By lorant
(105 views)

8.2 Day 2: Identifying Indeterminate Forms

8.2 Day 2: Identifying Indeterminate Forms

8.2 Day 2: Identifying Indeterminate Forms. Photo by Vickie Kelly, 2008. Greg Kelly, Hanford High School, Richland, Washington. Brooklyn Bridge, New York City. What makes an expression indeterminate?. Consider:. We can hold one part of the expression constant:.

By ramya
(103 views)

4.4 Modeling and Optimization

4.4 Modeling and Optimization

Photo by Vickie Kelly, 1999. Greg Kelly, Hanford High School, Richland, Washington. 4.4 Modeling and Optimization. Buffalo Bill’s Ranch, North Platte, Nebraska. There must be a local maximum here, since the endpoints are minimums. A Classic Problem.

By Anita
(137 views)

3.8 Derivatives of Inverse Trig Functions

3.8 Derivatives of Inverse Trig Functions

Photo by Vickie Kelly, 1993. Greg Kelly, Hanford High School, Richland, Washington. 3.8 Derivatives of Inverse Trig Functions. Lewis and Clark Caverns, Montana. At x = 2 :. We can find the inverse function as follows:. To find the derivative of the inverse function:. Switch x and y .

By nika
(156 views)

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