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2 years ago

How to know the derivative of a function by looking at the graphs?

1 answer:

ozzi2 years ago

6 0

The derivative is the gradient.

At any local Max's or min's the derivative graph will cut the x axis.

For example a graph x^2
The derivative will have a positive gradient as the gradient is increasing at the lower values then at x=0 the gradient is 0 so the derivative graph will pass the point (0,0). Remember that the derivative graph will be linear.

To get more detail find the points the graph crosses the x axis and put into for a(x-q)(x-p)=0 you will have to solve for 'a' by finding a point on the graph and substituting it in. Then you can find the derivative of that function and graph it

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the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul

likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

$n=(x+5)\times 10+x\times 1$

$n=10x+50+x$

$n=11x+50$

Reversed number is:

$x\times 10+(x+5)\times 1=10x+x+5$

$x\times 10+(x+5)\times 1=11x+5$

If you subtract double the reversed number from it, the result is a fourth of the original number.

$11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)$

$11x+50-22x-10=\dfrac{1}{4}(11x+50)$

$40-11x=\dfrac{1}{4}(11x+50)$

Multiply both sides by 4.

$160-44x=11x+50$

$160-50=11x+44x$

$110=55x$

Divide both sides by 55.

$\dfrac{110}{55}=x$

$2=x$

The unit digit is 2. So, the tens digit is $2+5=7$ .

Therefore, the original number is 72.

6 0

2 years ago

IF YOU GET IT RIGHT ILL MARK AS BRANLIST!!! which of the following graphs show a proportional relationship?

nexus9112 [7]

Answer:

Its a and b if you can click them both but its not c

3 0

2 years ago

Read 2 more answers

How to draw the picture

kati45 [8]

Draw four boxes. Put five balloons in one box with the characters in them and write 1/4 under that box. Then draw five balloons in the other boxes, then draw one big box with the total amount of balloons in them.

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!!

Pachacha [2.7K]

1. AB 3-2/-1-1
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle

2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
4/2=2
JM 2+2/-3+5
4/2=2
The quadrilateral is a parallelogram

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2 years ago

What is the pattern 3.5 to 13

mars1129 [50]

Adding 9.5 every time

4 0

2 years ago