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Brilliant_brown [7]
2 years ago
14

Use the lim f(x)-f(a)/x-a to find the derivative.

Mathematics
1 answer:
Tresset [83]2 years ago
4 0
Hello,

f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)

lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11

Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11



at point(1,-7)

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4x-6y=14 slope and y intercept?
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Answer:

m = 0.667

Step-by-step explanation:

Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.

Calculate the graph plot coordinates for 4x - 6y = 14

Solve 4x - 6y = 14 for x and also for y.

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Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

4x - 6y = 14

4x - 6(0) = 14

x1 = 3.5    y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 6y = 14

4(0) - 6y = 14

y2 = -2.333    x2 = 0

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:

(x1,y1) and (x2,y2)

(3.5,0) and (0,-2.333)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14

m = (y2 - y1)/(x2 - x1)

m = (-2.333 - 0)/(0 - 3.5)

m = 0.667

hope this is correct! c:

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