Antiderivative of exponential function
[DOC File]CONSTRUCTING ANTIDERIVATIVES ANALYTICALLY
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4) What is the antiderivative of ? a) if . b) ( because ln is not defined for x
[DOC File]Indefinite Integrals Calculus
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In problems #1–3, find an antiderivative of the function . In #4–7, find the indefinite integral . Solve the differential equation . Find the antiderivative of the function that satisfies . Evaluate the indefinite integral . (Hint: Examine the graph of.) Review Answers Indefinite Integrals Practice
[DOC File]116Deriv review95 - Saint Mary's College
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MATH 116-2006. Derivative & Antiderivative review . This review covers (most of) the first-semester material on limits, derivatives, and antiderivatives that we will call upon for second semester (doesn't include much on graphs, on log & exponential, exponential growth functions, or trig functions - which also will show up quite a bit).
[DOC File]Chapter 3
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antiderivative. of . Example 8.1. Given , show that its antiderivative is . Solution ( To show is the antiderivative of we need to take the derivative of . , Since , is the antiderivative of . (Recall that the derivative of a function tells us about the slope of a line tangent to the graph of the function …
[DOC File]Calculus 1 Lecture Notes, Section 4.1
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antiderivative. of a function f(x) is any function F(x) such that . One of the most common functions to integrate is the power function. To do this, we “run the power rule in reverse”: Power Rule for taking derivatives: Power Rule “in reverse” for taking antiderivatives: Example: find the derivative of . …
[DOC File]Activity A1- Antiderivatives
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Jul 26, 2004 · 3. 4. 5. There are two other special rules for integration(RS3) that involve the natural logarithm and the exponential function. Recall that the general power rule for antidifferentiation stated . The special rule for integration now allows us to integrate functions with an …
[DOC File]Inverse Functions
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A function of the form where is a constant and and is called an exponential function with base Some examples are and All exponential functions are continuous and their graph is one of the two basic shapes, depending on whether or The graph below shows the two basic shapes: ... The antiderivative is . If the argument of the natural logarithm is ...
[DOCX File]VOCABULARY: derivative, first derivative, second ...
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Apr 13, 2001 · the maxium and minimum of a function, relate derivatives and the shapes of curves, evaluate indeterminate forms using L'Hospital's Rule, use calculus to solve optimization problems, use Newton's Method to approximate real roots, and how to find an antiderivative.
[DOC File]Section 1
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What is a function that has a derivative of 3x²? A function is an antiderivative of f on an open interval I if F’(x) = f(x) for all x in I. There is an entire family of antiderivatives for each derivative. The general antiderivative of 3x² is x³ + c. c is called the constant of integration. …
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