| 单词 | differential coefficient |
| 释义 | > as lemmasdifferential coefficient c. differential coefficient: the quantity which measures the rate of change of a function of any variable with respect to that variable. ΘΚΠ the world > relative properties > number > calculus > [noun] > differential calculus > differentiation > derivative derivativea1690 fluxion1704 differential coefficient1708 differential coefficient1786 first derivative1852 1708–15 J. Kersey Dict. Anglo-Britannicum Coefficient of any generating Term (in Geometrical Fluctions) is the Quantity which arises by dividing that Term by the generated Quantity. 1855 Wallace in Encycl. Brit. IX. 688/2 The expression du/ dx is called the first differential co-efficient of the function u, or the differential co-efficient of the first order. 1875 I. Todhunter Diff. Calculus (ed. 7) xxvii. 392. differential coefficient differential coefficient n. Mathematics a function which expresses the instantaneous rates of change of a given function at different points; = derivative n. 3. ΘΚΠ the world > relative properties > number > calculus > [noun] > differential calculus > differentiation > derivative derivativea1690 fluxion1704 differential coefficient1708 differential coefficient1786 first derivative1852 1786 C. Hutton Tracts Math. & Philos. iii. 38 The powers of the quantity..will then diverge faster than the differential coefficients converge. 1852 T. G. Hall Treat. Differential & Integral Calculus (ed. 5) iii. 31 This process is called successive differentiation, and du/dx, dp/dx, dq/dx, &c. are called the first, second, third, &c. differential coefficients, or the first, second, third, &c. derivatives of u. 1933 Proc. Sect. Sci. Kon. Akad. Wetensch. Amsterdam 36 152 The differential coefficients of G make a jump. 1993 J. O. Bird Higher Engin. Math. v. 35 The differential coefficient of a constant is zero. < as lemmas |
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