Answer:
a.) f'(x) = 2x - 2
b.) horizontal tangent line at (1, 0)
c.) view image
d.) the point given, (-1, -1/2), isn't even located on the graph of f(x). Either there is a typo or the question is poorly stated.
Step-by-step explanation:
a.) You should know how to do derivative already
b.) Horizontal tangent line just mean that the slope is zero. Since a derivative is a slope, just find when the derivative is equal to 0.
c.) The function f(x) looks like a U. The only spot that has a zero slope is at the bottom of the U when the slope changes from negative to positive. Since my horizontal tangent line(where the slope is 0) is located at point (1,0), that must be where the bottom of the graph is,
d.) Poorly stated question. The point given isn't even located on the graph.
Answer:
and x=4
Step-by-step explanation:
We are given that a curve
We have to find the equation of tangent at point (4,2) on the given curve.
Let y=f(x)
Differentiate w.r.t x
By using the formula 
Substitute x=4
Slope of tangent
In given question
By comparing we get a=4
Point-slope form
Using the formula
The equation of tangent at point (4,2)
We know 20% is 15
and now we find 80%
since 20% x 4 = 80%, we can multiply 15 by 4 to get 80% of 75
15 x 4 = 60
80% of 75 = 60
Answer:
The coordinates of B are (-2 , 9)
Step-by-step explanation:
A (8, 4)
M (3 , -1)
To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2
(Ax + Bx) / 2 = Mx
(8 + Bx) / 2 = 3
8 + Bx = 3 * 2
Bx = 6 - 8
Bx = -2
(Ay + By) / 2 = My
( -1 + By) / 2 = 4
-1 + By = 4 * 2
By = 8 + 1
By = 9
The coordinates of B are (-2 , 9)
