Yes. In fact, that is basically the definition of a derivative. It is the instantaneous rate of change of a function.
For example, picture the graph of the following function:
![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
The slope is constantly changing at every x-value, so to find the slope at x=a, we find the derivative of the function.
![f'(x)=2x](https://tex.z-dn.net/?f=f%27%28x%29%3D2x)
Once we have the derivative, simply plug in a for x to find the slope of the line tangent to f(x) at x=a.
For example, at x=5:
![f'(5)=2(5)](https://tex.z-dn.net/?f=f%27%285%29%3D2%285%29)
The slope of f(x) at x=5 is 10.
Answer:
Slope from P to Q = F/E ------ Definition of a Slope
Slope from Q to R = F1/E1 ------ Definition of a Slope
F1/ E1 = F/E ---------------- Triangle 1 is similar to triangle 2
+25 on the TTM
Step-by-step explanation:
Answer:
I believe the answer is A.
Step-by-step explanation:
If there are 13 daises per bouquet, that means one bouquet is all daises. The other bouquet has 30 flowers. 30-13 is 17 which means there are 17 other flowers rather than daises. 17 is greater than 13 by 4 which is not that much. Therefore I think the answer is letter A.
Answer:
D. All of the above
Step-by-step explanation:
Linear regression models relate to some assumptions about the distribution of error terms. If they are violated violently, the model is not suitable for drawing conclusions. Therefore, it is important to consider the suitability of the model for information before further analysis can be performed based on this model.
The fit of the model is related to the remaining behavior complying with the basic assumptions for error values in the model. When a regression model is constructed from a series of data, it should be shown that the model responds to the standard statistical assumptions of the linear model because of conducting inference. Residual analysis is an effective tool to investigate hypotheses. This method is used to test the following statistical assumptions for a simple linear regression model:
-Regression function is linear in parameters,
-Error conditions have constant variance,
-Error conditions are normally distributed,
-Error conditions are independent.
If no statistical hypothesis of the model is fulfilled, the model is not suitable for data. The fourth hypothesis (independence of error conditions) relates to the regulation of time series data. It is now used some simple graphical methods to analyze analysis, the feasibility of a model, and some formal statistical tests. In addition, when a model fails to meet these assumptions, some data changes may be made to ensure that the assumptions are reasonable for the modified model.
Your answer is xy-1<span><span>
</span></span><span>=<span><span><span><span>4<span>x2</span></span><span>y2</span></span>−<span><span>4x</span>y/</span></span><span><span>4x</span>y
</span></span></span><span>=<span><span><span><span>4x</span>y</span>−4/</span>4
</span></span><span>=<span><span>xy</span>−<span>1
</span></span></span>Hope this helps!