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[DOC File]1
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Find the average rate of change of between the values and . Ans: 7 . Using the limit definition, find the instantaneous rate of change of at . Ans: 5. Using your answer to part (b), find the equation of the tangent line at the point . Ans: 4. Find the derivatives of the following functions. d. e. g) 5. a) Let , find derivative …
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[DOCX File]Product Rule
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Let’s find a rule for division quotients. Quotient Rule. If u and v are differential functions, so is u v ' , and u v ' = u ' v-u v ' v 2 . That is, the derivative of a quotient is equal to "The derivative of the top times the bot t om,minus the top times the derivative of the bottom, all over the bottom squared."
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[DOC File]1
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5. Find the derivative by the limit process: (a) (b) 6. Find the derivative of each of the following functions: (a) (b) (c) (d) 8. Find the slope of the graph of the function at the given point: (2, 18) Note that the quantity that gives the slope of the graph is the derivative. In problems of …
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[DOC File]New Chapter 3
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Since the only time that a fraction can equal zero is when the numerator equals zero, . By solving this equation, we find that the graph has two horizontal tangent lines at x = 0 and x = ¾. (5.4 Higher-Order Derivatives . The derivativeof a function f is also a function; hence, where it exists, we can also find the derivative …
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HONORS PRECALCULUS
Find the derivative of . SOLUTION. Using the Product Rule, we have: REMARK . Note that the derivative of a product of two functions is not (in general) given by the product of the derivatives of the two functions. To see this, try comparing the product of the derivatives of and with the derivative found in Example 1. In Example 1, we had the ...
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[DOC File]1 - South Georgia College
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9. Find the points at which the graph of the function has a horizontal tangent line: The tangent is horizontal at points where the derivative is zero. Note that the question asks you to find points, so you must also find the y-coordinates. Ans: 10. Find the derivative of each of the following functions: (a) (b) This simplifies to . 11.
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[DOC File]Rule - Baruch College
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Find any y-coordinate on the graph. Find any additional points for graphing. Average Rate of Change on the interval . Actual Change on the interval First Derivative. f'(x) Slope of the Tangent Line {Substitute any x-value into the first derivative} Instantaneous Rate of Change {Find the derivative and substitute the given value into it}
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[DOCX File]iblog.dearbornschools.org
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Use the graph to find the equation of the derivative (find the slope (using the two points given in the graph) and the y-intercept or use point slope form). Using the equation of the derivative, find the equation of the function and use the point they give you to solve for the value of C. Finally, use your equation to solve for f(1).
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[DOC File]Lesson Plan Template - Hollywood High School
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Jun 14, 2011 · derivative. of the trigonometric function. Commonplace trigonometric functions include sin(x), cos(x) and tan(x). Knowledge of differentiation from first principles is required, along with competence in the use of ... We can then break up the fraction into two pieces, both of which can be dealt with separately. Now, both of the limits here are ...
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Find derivative of fraction