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[DOC File]New Chapter 3
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If f(x) and g(x) are both differentiable, then the derivative of can be found by the quotient rule. Note that we must avoid points where g(x) = 0. (Table 5.2 The Quotient Rule. If and exist, and , then which is valid for any x at which. The denominator of the Quotient Rule is easy to memorize, but the numerator is not.
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[DOC File]Pre-Calculus Assignment Sheet
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II. For each given function, find . 4) 5) III. For each given function, find . 6) 7) IV. For each given function, find . Simplify your results. 8) 9) 10) H0MEWORK Sept. 21st, 2012 Difference Quotient Worksheet. I. For the given function find the requested value. Use separate paper or back of sheet 9. 1) , find 2) , find 3) , find
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[DOC File]Ex
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Ex. Trigonometric functions with angle nx (sin 5x)′ = (cos 5x)(5x)′ = (cos 5x)∙5 = 5 cos(5x) (csc 4x)′ = (−csc 4x cot 4x)(4x)′ = −4 csc(4x) cot(4x)
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[DOC File]DERIVATIVES
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3. [ f(x) − g(x)]′ = f ′(x) − g′(x) 4. [c f (x)]′ = c f ′(x) 5. [ f (x)g(x)]′ = f (x)g′(x) + g(x)f ′(x) 6. The Power Rule: For any real number n, For n = 1, this means that . And if n = 0, then , which is consistent with the constant rule of differentiation (rule #1 above). ex. The instantaneous rate of change of a line ...
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[DOC File]Algebra 2 Final Exam Review – 2007 Semester 1
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Find f(3) 6. g(-2) 7. g(f(x)) 8. g(4x) C. Where do the lines intersect? Solve the system of equations. 9. y = x + 3 10. 4x + 10y = 20 11. x + y + z = 4 y = - 2x + 6 2x + 3y = 6 2x + 3y – z = 13. 4x – 2y + z = 7 . 12. What does your solution point from #9 represent in the graph of the equations? D. Find the equation of the line in standard ...
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[DOC File]Parent Function Worksheet 1
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15. g(x) = 3(x-1)2 – 6. 16. h(x) = 17. f(x) = 18. Given the parent function and a description of the transformation, write the equation of the transformed function, f(x). Identify the domain and range of the function. Absolute value—vertical shift up 5, horizontal shift right 3.
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[DOCX File]Sara Vanderwerf
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Author: Sara VanDerWerf Created Date: 10/11/2016 05:19:00 Last modified by: Sara Vanderwerf
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[DOC File]Function notation Worksheet
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Find x if g(x) = 16 f. Find x if h(x) = –2 g. Find x if j(x) = 23 . x= -5 x= -6 x= 7. 2. Given . Fill in the table and then sketch a graph. x f(x) -6 27 -3 15 0 3 1 -1 2 -5 3. Given . Fill in the table and then sketch a graph. x f(x) 3 2 0 1 -10 -3 -5 -2 35 6 4. Translate the following statements into coordinate points. ...
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[DOC File]Pre-Calculus/Trig 3
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Find (f g)(x) and (g f)(x) f(x) = 1/3 x + 5 . g(x) = x – 3 . Applications. Let d(t) be the number of dogs in the US in year t, and let c(t) be the number of cats in the US in the year t, where t=0 corresponds to 2000. Find the function p(t) that represents the total number of dogs and cats in the US.
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[DOC File]Function notation Worksheet
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f. g(b+c) g. f(h(x)) h. Find x if g(x) = 16. i. Find x if h(x) = –2. j. Find x if f(x) = 23 . 2. Translate the following statements into coordinate points: a. f(–1) = 1. b. h(2) = 7. c. g(1) = –1. d. k(3) = 9. 3. Given this graph of the function f(x): Find: a. f(–4) = b. f(0) = c. f(3) d. f(-5) e. x when f(x) = 2 f. x when f(x) = 0. 4 ...
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Find f x g x