求出平均变化率 What is the average rate of change of h(x)=1/(10-x) over the interval 5<=x<=8 ? What is the average rate of change ofover the interval? 将写为等式。 运用平均变化率公式代入。 点击获取更多步骤... 化简表达式。 点击获取更多步骤...
Derivative Of Exponential Function Derivatives Of Logarithmic Functions Trig Derivatives Inverse Trig Derivatives Hyperbolic Trig Functions Derivative of Inverse Functions Implicit Differentiation Higher Order Derivatives Logarithmic Differentiation Average Rate Of Change Calculus L’Hopitals Rule Equation Of Tangent...
The difference quotient isa measure of the average rate of change of the function over an interval(in this case, an interval of length h). The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change. What is a difference quotient at a point? Tha...
rate of change of a function. That means we need to find the rate of change of this function at a point. However, we're used to finding the rate of change over an interval. We can modify this method to take the average rate of change as the length of the interval trends to ...
I don't think that there is any good engineer or scientist that can get along on an IQ of 100, which is the average for human beings.In other words, he has to have an IQ higher than that. Everyone in this room is considerably above that. This, we might say, is a matter of envi...
Businesses large and small should be excited about generative AI’s potential to bring the benefits of technology automation to knowledge work, which until now has largely resisted automation. Generative AI tools change the calculus of knowledge work automation; their ability to produce human-like wri...
In mathematics classes, this is commonly expressed as change in the dependent variable resulting from a unit change in the independent variable, and variously described as constant or variable rate; average or instantaneous rate. In addition, rate may be seen as a purely abstract mathematical ...
Many experts hope that these alternative math pathways will be given equal value as calculus. It will take some effort to change the entrenched belief that calculus is the pinnacle of rigor. In a survey, Just Equations found that, when asked which advanced math course carries the most weight ...
That is a calculus question since you are looking for a rate of change at one particular time. How could you do this? Well, you might estimate your speed at time t=10 as our average speed between time x=10 and x=11, which can be expressed as: But you could get a better estimate...
Conversely, the x-intercept is the point at which the line crosses the x-axis -- that is, it is the point where y=0, yielding the coordinate (x, 0). The slope is the average rate of change from one point to the next on a given line. In other words, it is the ratio of the...