Concept explainers
True-False Review
For Questions (a)-(j), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem in fact from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.
(a) If
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Differential Equations and Linear Algebra (4th Edition)
- y = f(x) ++ 3. Exer. 33-36: Use right-hand and left-hand derivatives to prove that f is not differentiable at a. 33 f(x) = |x - 5|, a = 5 34 f(x) = |x + 2|, a = -2 35 f(x) = [x - 2; a = 2 36 f(x) = [x]- 2; a 2 Exer. 37-40: Use the graph of f to find the domain of f'.arrow_forwarddifferential calculus: find the 3rd derivativearrow_forwardADVANCED MATHEMATICSarrow_forward
- Could you explain how to show this in detail?arrow_forwardFind the third derivative. 1 (x + y)2 + (x – y)2 = aarrow_forwardQuestion 11 What is the derivative of y =V x3 - 2x2 + x - 2- (3x + 1) (x – 1) A 2 V x3 - 2x2 + x - 2 ( 3 x - 1) (x- 1) B 2 х3 —2 х2 + х —2 (1-3x) (1+ x) 2 Vx3 – x2 + x -2 -(3x – 1) (1– x) 2 V x3 - 2x2 + x - 2 Question 12 tan x Evaluate lim X-0 sin (2x) : 1 A 2 В) 1 c) 2 D 8arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage