1.
Increasing: (-3,0) U (3,5]
Decreasing: [-5,-3) U (0,3)
2.
Increasing: (-infinity,2)
Decreasing: (2,infinity)
Answer:
The slope of the tangent line is -3/2.
Step-by-step explanation:
The slope of a tangent line is given by the derivative evaluated at the point of tangency.
To find the derivative dy/dx, use implicit differentiation.
The derivative of the first term is 2x.
The derivative of the second term is found by using the Product Rule.
The derivative of y is dy/dx.
The derivative of 3 is 0.
Differentiating each term produces
![2x + x\cdot\frac{dy}{dx}+y\cdot 1+\frac{dy}{dx} = 0](https://tex.z-dn.net/?f=2x%20%2B%20x%5Ccdot%5Cfrac%7Bdy%7D%7Bdx%7D%2By%5Ccdot%201%2B%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%200)
Solve for dy/dx.
![2x+y+(x+1)\frac{dy}{dx}=0 \\\frac{dy}{dx}=\frac{-2x-y}{x+1}](https://tex.z-dn.net/?f=2x%2By%2B%28x%2B1%29%5Cfrac%7Bdy%7D%7Bdx%7D%3D0%20%5C%5C%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7B-2x-y%7D%7Bx%2B1%7D)
Plug in the point (1, 1).
![\frac{dy}{dx}=\frac{-2-1}{1+1} =-\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7B-2-1%7D%7B1%2B1%7D%20%3D-%5Cfrac%7B3%7D%7B2%7D)
Answer:
90 is the answer
Step-by-step explanation:
360° / 4= 90°
Answer:
Step-by-step explanation:
<u>Rate of change for function A is:</u>
- (15 - 10)/(5.5 - 4.5) = 5/1 = 5
<u>Rate of change of function B is:</u>
- -4.5 as the slope is the rate of change
<u>Comparing the values:</u>
Function A has a greater rate of change
1. You make a model of any shape (I would use a square, it is easier)
2. You evenly divide it by the denominator part of the fraction
3. You fill in the sections by the numerator part of the fraction