Tangent Properties First, tangent linesapproximatea function. Near thepoint of tangency, the function is quite similar to the line - however, "near" is a relative term. It could be quite large, for a function that changes little, or closer to one-thousandth. ...
Equation of a Tangent Line: Determining the equation of a tangent line to a function is one of the applications of a function's derivative. This is because the derivative of the function evaluated at the point of tangency will give us the slope of the tangent l...
Answer to: The tangent line to the graph of a function h at the point x=-5 is y=-(2x+14). Find the tangent line to the graph of y=xh(x) at x=-5. By...
The experiment was designed for the purpose of introducing students to the notion of derivative and to the general case of tangent to a function graph. Its design was based on previous research results on students' perspectives on tangency, especially in their transition from Geometry to Analysis....
The tangent line of a function is a line that touches the function but does not pass through it. This means that it intersects the function at only one point and shares the same rate of change as that function at that point. What is tangent of an angle? A tangent line is not to be...
关于导数数学题If the line tangent to the graph of the function f at the point (1,7)passes through the point (-2,-2)then f ' (1) is ( )A.-5 B.1 C.3 D.7 E.undefined 答案 在(1,7)点的切线经过点(-2,-2)切线斜率k=(-2-7)/(-2-1)=3所以函数在(1,7)点的导数值为3于是...
There are several ways in which you can find the slope of a tangent to a function. These include actually drawing a plot of the function and the tangent line and physically measuring the slope and also using successive approximations via secants. However
A line that just touches a curve at a point, matching the curve's slope there. (From the Latin tangens touching, like in the word "tangible".) At left is a tangent to a general curve. And below is a tangent to an ellipse:See...
Tangent (trigonometric function) Tangent (trigonometry) Tangent (trigonometry) Tangent (trigonometry) tangent altitude Tangent arc tangent bending Tangent bundle Tangent bundle section Tangent bundle section tangent circles Tangent Computer, Inc. Tangent cone tangent conical map projection Tangent Curve Tangent...
题的意思是:求f(x)=8/√(x^2+3x)在点(1,4)处的切线方程 重点是求函数在x=1处的f'(x)直接求导很麻烦,可采用对数求导法,lnf(x)=ln8-(ln(x^2+3x))/2 两边同时对x求导,f'(x)/f(x)=-(2x+3)/2(x^2+3x)把x=1,f(x)=4带入,得 f'(x)=-5/2 可以求出切线方程为y...