If the derivative of a function is positive at a point, then the function is ___ at that point. A. increasing B. decreasing C. constant D. none of the above 相关知识点: 试题来源: 解析 A。如果函数在某一点的导数是正的,那么函数在该点是递增的。“increasing”是递增;“decreasing”是递减...
Concretely, this paper aimed primarily to describe and characterize the meaning of derivative of a function at a point expressed by mathematics pre-service teachers. In order to achieve this goal, we use a semantic framework, in which the meaning is composed of: (a) conceptual structure, (b)...
What is the geometric, physical or other meaning of the third derivative of a function at a point? (Originally asked on MO by AJAY) If you have interesting things to say about the meaning of the first, and second derivatives, please do. ...
The Derivative of a Function at a Point The type of limit we compute in order to find the slope of the line tangent to a function at a point occurs in many applications across many disciplines. These applications include velocity and acceleration in physics, marginal profit functions in busines...
derivative - the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx derived function, differential, differential coefficient, first derivative curvature - the rate of change (at a point) of the angle between a curve and a tangent to the...
The meaning of DERIVATIVE OF A FUNCTION is the limit if it exists of the quotient of an increment of a dependent variable to the corresponding increment of an associated independent variable as the latter increment tends to zero without being zero.
If the directional derivative of a function at a point is zero in a certain direction, then the unit vector must be perpendicular to the gradient at this point. Answer and Explanation:1 Given A function {eq}f\left( {x,y} \right) = xy + {y^2} {/eq} ...
Geometrically, the derivative of a function can be interpreted as theslopeof thegraphof the function or, more precisely, as the slope of thetangentlineat a point. Its calculation, in fact, derives from the slope formula for a straight line, except that alimitingprocess must be used forcurves...
A function has a derivative at a point if the slopes of the secant lines through选择语言:从 到 翻译结果1翻译结果2 翻译结果3翻译结果4翻译结果5 翻译结果1复制译文编辑译文朗读译文返回顶部 一个函数有一个衍生于一个点,如果割线线的斜率通过 翻译结果2复制译文编辑译文朗读译文返回顶部 一项功能在点有...
【题目】Find the directional derivative of the function at the given point in the direction of the vecto Tf(x,y)=e^2siny , (0,π/(3)) , v=(-6,8) 相关知识点: 试题来源: 解析 【解析】 , v(0,π/3)=((√3)/2,1/2) , a = (e' sin y, e' cos y) nd a unit vector ...