'Quotient rule' presentation slideshows

3.1 Derivative of a Function

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Differentiation

Differentiation. Differentiation Rules. 1. . Differentiation Rules. 1. . Differentiation Rules. 2. . Differentiation Rules. 2. . Differentiation Rules. 2. . Differentiation Rules. 3. . Differentiation Rules. 3. . Differentiation Rules. for any positive integer n. 4. .

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Limits, Continuity and the Derivative

Limits, Continuity and the Derivative. The Derivative and the Slope of a Graph. Consider the case of an object moving along a curve from left to right. At the point where the object is released, it continues in a straight line. This line is called the tangent line .

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PROGRAMME F11

PROGRAMME F11. DIFFERENTIATION. Programme F11: Differentiation. The gradient of a straight-line graph The gradient of a curve at a given point Algebraic determination of the gradient of a curve Derivatives of powers of x Differentiation of polynomials

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Properties of Functions

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Objectives for Section 11.2 Derivatives of Exp/Log Functions

Objectives for Section 11.2 Derivatives of Exp/Log Functions . The student will be able to calculate the derivative of e x and of ln x . The student will be able to compute the derivatives of other logarithmic and exponential functions.

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Sinusoidal functions

Differentiation. Derivatives and differentials. Products and quotients. Power rule. Chain rule. Sinusoidal functions. Slope and derivative. 0. Differentials are not numbers. +5. +4. +3. +2. +1. 0. -1. -2.

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HACT Workshop CAS in Calculus

HACT Workshop CAS in Calculus. Bekki George bekki@math.uh.edu. AP Calculus Resource Site. http://online.math.uh.edu/apcalculus/. Over 40 Online Quizzes and AP Practices Exams. http://www.estudy.uh.edu/. Creating Your Own Online Tutorials. Jing (free): http://www.techsmith.com/jing/.

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P.2 Exponents and Scientific Notation

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Properties of Logarithms Section 4.3

Properties of Logarithms Section 4.3. JMerrill, 2005 Revised, 2008. Rules of Logarithms If M and N are positive real numbers and b is ? 1:. The Product Rule : log b MN = log b M + log b N (The logarithm of a product is the sum of the logarithms)

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6.1 Review of the Rules for Exponents

6.1 Review of the Rules for Exponents. Product rule for exponents: Power Rule (a) for exponents: Power Rule (b) for exponents: Power Rule (c) for exponents:. 6.1 Review of the Rules for Exponents. Changing from negative to positive exponents: Quotient rule for exponents:.

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Laws (Properties) of Logarithms

Laws (Properties) of Logarithms. Section 3.3. Objectives. Rewrite (expand) a logarithm to contain no logarithms of products, quotients, or powers. Rewrite (condense) a logarithmic expression into the logarithm of a single value.

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3.2 Inverse Functions and Logarithms

3.2 Inverse Functions and Logarithms. 3.3 Derivatives of Logarithmic and Exponential functions. One-to-one functions. Definition: A function f is called a one-to-one function if it never takes on the same value twice; that is f(x 1 ) ? f(x 2 ) whenever x 1 ? x 2 .

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Section 9.7 Properties of Logarithms

Section 9.7 Properties of Logarithms. Review Basic Properties of Logarithms log b 1 =0 log b b= 1 log b b x =x b log bx =x The Product Rule The Quotient Rule The Power Rule Writing Expressions as a Single Logarithm The Change of Base Formula. Basic Properties of Logarithms.

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2.3 The product rule, quotient rule, and higher order derivatives

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Negative Exponents

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Consumer Surplus

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Lesson 40 Quotient Rule for Exponents

Lesson 40 Quotient Rule for Exponents. Definition: x . x . x . ..... x = x n Product Rule: x m . X n = x m + n Definition: x 1 = x Definiton: If x is not 0 then x -n =1/x n Definition: If x is not 0 then x 0 = 1. Quotient Rule for Exponents. If m & n are real numbers and x ? 0 then

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