A First Course in Higher Algebra
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In our eReader you can find the full English version of the book. Read A First Course in Higher Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A First Course in Higher Algebra
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DIFFERENTIATION OF ALGEBRAIC FUNCTIONS 87 function is neither increasing nor decreasing, and the derivative is equal to zero. If a tangent to the curve be drawn at such a point, it will be parallel to the a;-axis. It does not necessarily follow that when the derivative is zero, the function will have a maximum or a minimum. The derivative of a^ + 1 (see Ex. 2, page 74) is zero when a; = 0, but this is a so-called point of inflection, and not a maximum or minimum of the function. If, at a certai...n point, the derivative is zero, it can be determined whether the point is a maximum or a minimum, by investigating the sign of the deriva- tive for values of a; a little less and a little greater than the value which makes the derivative vanish. If the derivative is negative for a value a little less, and posi- tive for a value a little greater, than the critical value, the point in question is a minimum, since, the derivative being first negative and then positive, the function must first decrease and then increase.
What to read after A First Course in Higher Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Helen Abbot Merrill to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
DIFFERENTIATION OF ALGEBRAIC FUNCTIONS 87 function is neither increasing nor decreasing, and the derivative is equal to zero. If a tangent to the curve be drawn at such a point, it will be parallel to the a;-axis. It does not necessarily follow that when the derivative is zero, the function will have a maximum or a minimum. The derivative of a^ + 1 (see Ex. 2, page 74) is zero when a; = 0, but this is a so-called point of inflection, and not a maximum or minimum of the function. If, at a certai...n point, the derivative is zero, it can be determined whether the point is a maximum or a minimum, by investigating the sign of the deriva- tive for values of a; a little less and a little greater than the value which makes the derivative vanish. If the derivative is negative for a value a little less, and posi- tive for a value a little greater, than the critical value, the point in question is a minimum, since, the derivative being first negative and then positive, the function must first decrease and then increase.
What to read after A First Course in Higher Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Helen Abbot Merrill to read onlineMoreLess
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