'Find dy dx' diaporamas de présentation

Chapter 5

Applications of Differentiation. Chapter 5. Extrema on An Interval. Section 5.1. Definition of Extrema. Let f be defined on an interval I containing c . f(c) is the minimum of f on I if f(c) ? f(x) for all x in I .

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3.6 Chain rule

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Derivatives of Exponential and Inverse Trig Functions

Derivatives of Exponential and Inverse Trig Functions. Objective: To derive and use formulas for exponential and Inverse Trig Functions. Derivatives of Exponential Functions. We will use our knowledge of logs to find the derivative of . We are looking for dy/dx.

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Implicit Differentiation

Implicit Differentiation. Objective: To find derivatives of functions that we cannot solve for y. Implicit Differentiation. It is not necessary to solve an equation for y in terms of x in order to differentiate the function defined implicitly by the equation (but often it is easier to do so).

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3.7 Implicit Differentiation

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Derivatives of Parametric Equations

Derivatives of Parametric Equations. Lesson 10.2. Studying Graphs. Recall that a function , y = f(x) is intersected no more than once by a vertical line Other graphs exist that are not functions We seek to study characteristics of such graphs

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3.7 Implicit Differentiation

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Section 3.4 The Chain Rule

Section 3.4 The Chain Rule. Examples. Find dy / dx and factor the result. Chain Rule. Let u = g(x) and find du/ dx first. Then. Examples. Find dy / dt for the function. Chain Rule (Alternative Form). If y = f [g(x)] , then. Examples. Find dy / dt for the function.

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Chapter 3.6-3.9 Review

Chapter 3.6-3.9 Review. Sticky Ball Game. Problem 1. Find dy /dx of. Problem 2. Find dy /dx of. Problem 3. Find dy /dx of. Problem 4. Find dy /dx of. Problem 5. Find dy /dx of. Problem 6. Find dy /dx of. Problem 7. Find dy /dx of. Problem 8. Find dy /dx of. Problem 9.

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Differentiation in Polar Coordinates

Differentiation in Polar Coordinates. Lesson 10.7. Review. Relationship of polar and rectangular systems x = r cos ? y = r sin ? Given r = f( ? ), simple to find dr/d ? However, we seek dy/dx. Finding dy/dx. We know r = f( ? ) and y = r sin ? and x = r cos ? Then And.

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Introduction to Implicit Differentiation

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3.6 Day 1

Derivatives of Parametric Equations. 3.6 Day 1. 3.6 Page 147 #56 Find the derivative. Find dy / dx in two ways. The slope of a parametrized curve is given by:. Find the equation of the line tangent to the curve at the point defined by the given value of t.

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Derivative of Exponential Function and Logarithms

Derivative of Exponential Function and Logarithms. I ?Logarithms, still ?. Now, when e is missing. Instead of exponential function with base e (which is a number) we will look at exponential functions with bases other than e.

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Section 12.3 The Chain Rule

Section 12.3 The Chain Rule. Examples. Find dy / dx and factor the result. Chain Rule. If y = f [ g ( x )] , let u = g ( x ) and find du/ dx first. Then. Alternative Form:. If y = f [ g ( x )] , then. Examples. Find dy / dt for the function. Generalized Power Rule. Examples.

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Chapter 2: Differentiation

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Chain Rule Round Robin

Chain Rule Round Robin. Seat A: find U and du / dx Seat B: find y in terms of u and dy / du Seat C: find dy / dx Seat D: Simplify dy / dx. Seat B: find U and du / dx Seat C: find y in terms of u and dy / du Seat D: find dy / dx Seat A: Simplify dy / dx.

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Implicit Differentiation

Implicit Differentiation. 2.5a. Implicit Differentiation. So far, all the equations and functions we looked at were all stated explicitly in terms of one variable:.

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2004 AP Calculus Exam

0. 2004 AP Calculus Exam. Free Response Problem #6. 0. 0. Next, use the values for dy/dx to graph the slopes at each point. Approximate the angles of the slopes. First, create a chart to find dy/dx. 0. First, study the graph of dy/dx at each of the twelve points.

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