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a) If the y-coordinate of the derivative function is negative over an interval, then the function is said to be over that interval. b) The is sometimes called rate of change of the slope of the tangent. at (a, f(a)). If f'(x) > 0 and f'(x) = 0 at x = a, there is a

a) If the y-coordinate of the derivative function is negative over an interval, then the function is said to be over that interval. b) The is sometimes called rate of change of the slope of the tangent. at (a, f(a)). If f'(x) > 0 and f'(x) = 0 at x = a, there is a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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23. b) c) d) e) f) Calculus word bank. Fill in the blanks using the correct answer using words. The length of the blank does not reflect the length of the answer. concave down maximum endpoints midpoint continuous differentiable h) i) j) negative to zero to positive second derivative positive to zero to negative point of inflection slowing down critical numbers first derivative a) If the y-coordinate of the derivative function is negative over an interval, then the function is said to be over that interval. optimization maximizing decreasing minimum The speeding up concave up undefined increasing is sometimes called rate of change of the slope of the tangent. at (a, f(a)). If f'(x) > 0 and f'(x) = 0 at x = a, there is a If f'(x) changes from x < a to x > a, then (a, f(a))is a local minimum value. The absolute maximum can often be found at the If h(x) = f(x)g(x), where f(x) and g(x) are then h'(x) = f'(x) g(x) + f(x)g'(x) as x increases from If you are looking at the graph of f'(x) over an interval, and its slope is always negative, then you can say that ƒ(x) is. over that interval. of an interval. An object is ¸ if v(t) × a(t) <0 Values in the domain where the derivative is zero or undefined are _functions, is finding a "best" outcome for a situation in a problem.
Transcribed Image Text:23. b) c) d) e) f) Calculus word bank. Fill in the blanks using the correct answer using words. The length of the blank does not reflect the length of the answer. concave down maximum endpoints midpoint continuous differentiable h) i) j) negative to zero to positive second derivative positive to zero to negative point of inflection slowing down critical numbers first derivative a) If the y-coordinate of the derivative function is negative over an interval, then the function is said to be over that interval. optimization maximizing decreasing minimum The speeding up concave up undefined increasing is sometimes called rate of change of the slope of the tangent. at (a, f(a)). If f'(x) > 0 and f'(x) = 0 at x = a, there is a If f'(x) changes from x < a to x > a, then (a, f(a))is a local minimum value. The absolute maximum can often be found at the If h(x) = f(x)g(x), where f(x) and g(x) are then h'(x) = f'(x) g(x) + f(x)g'(x) as x increases from If you are looking at the graph of f'(x) over an interval, and its slope is always negative, then you can say that ƒ(x) is. over that interval. of an interval. An object is ¸ if v(t) × a(t) <0 Values in the domain where the derivative is zero or undefined are _functions, is finding a "best" outcome for a situation in a problem.
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