'Constant multiple rule' diaporamas de présentation

2.1 Tangents and Derivatives at a Point

2.1 Tangents and Derivatives at a Point. Finding a Tangent to the Graph of a Function. To find a tangent to an arbitrary curve y=f(x) at a point P(x 0 ,f(x 0 )), we Calculate the slope of the secant through P and a nearby point Q(x 0 +h, f(x 0 +h)).

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Section 2.3 Product & Quotient Rules and Higher-Order Derivatives

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Section 2.3

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MAT 1221 Survey of Calculus

MAT 1221 Survey of Calculus. Exam 1 Info. http://myhome.spu.edu/lauw. Expectations. (Time = 15 min.) Use equal signs correctly Use and notations correctly Pay attention to the independent variables: Is it or ?. Tutoring Bonus Points. Turn in your paper today!

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Aim: What is Integration by Substitution?

Aim: What is Integration by Substitution?. Do Now:. Chain Rule. If y = f ( u ) is a differentiable function of u and u = g ( x ) is a differentiable function of x , then y = f ( g ( x )) is a differentiable function of x and. or, equivalently,.

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Definition of Limit, Properties of Limits

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Indefinite Integrals, Applications

Indefinite Integrals, Applications. Section 6.1b. Definition: Indefinite Integral. The set of all antiderivatives of a function is t he indefinite integral of with respect to and is denoted by. Integral Sign. Variable of Integration. Integrand.

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

2.3 The product rule, quotient rule, and higher order derivatives. "Life is too short for long division.". Objective. Derivative Rules. Constant Rule Power Rule Constant Multiple Rule Derivative of x lemma Trig Rules Sum and Difference Rule. Limit Rules. Sum and difference of limits

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AP Calculus AB/BC

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. AP Calculus AB/BC. 3.3 Differentiation Rules, p. 116. Colorado National Monument. The derivative of a constant is zero.

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Power, Sum, and Difference Rules, Higher-Order Derivatives

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PRODUCT & QUOTIENT RULES & HIGHER-ORDER DERIVATIVES (2.3)

PRODUCT & QUOTIENT RULES & HIGHER-ORDER DERIVATIVES (2.3). September 25th, 2017. I. THE PRODUCT RULE.

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Limits

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DT.01.5 - Differentiation Techniques: Combining the Differentiation Rules

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If the derivative of a function is its slope, then for a constant function, the derivative must be zero.

2.3 Basic Differentiation Formulas. 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. example:. Power Rule:. If n is any real number, then. Examples:. Constant Multiple Rule:.

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AP Calculus BC

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Limits Involving Infinity

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Derivatives

Derivatives. Constant Rule. Power Rule. Examples. Find the derivatives of each: f(x)=x 6 f(x)=x 1000. Example. Find an equation of a tangent line to the curve at the point (1, 1). Constant Multiple Rule. If c is a constant and f is differentiable, then. Example:.

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INTEGRATION

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Section 2.3

Section 2.3. Differentiation Formulas. DIFFERENTIATION FORMULAS FOR BASIC FUNCTIONS. 1. The derivative of a constant function, f ( x ) = c. 2. The derivative of the identity function, f ( x ) = x. THE POWER RULE.

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Section 3.3

Section 3.3. Differentiation Formulas. DIFFERENTIATION FORMULAS FOR BASIC FUNCTIONS. 1. The derivative of a constant function, f ( x ) = c. 2. The derivative of the identity function, f ( x ) = x. THE POWER RULE.

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