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3 years ago

What is the diffrentiation of logx

Mathematics

1 answer:

dalvyx [7]3 years ago

5 0

Derivative of Logarithm

When the logarithmic function is given by:

f (x) = logb(x)

The derivative of the logarithmic function is given by:

f ' (x) = 1 / ( x ln(b) )

x is the function argument.

b is the logarithm base.

ln b is the natural logarithm of b.

For example when:

f (x) = log2(x)

f ' (x) = 1 / ( x ln(2) )

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Help!! Algebra help will give stars

Inessa [10]

Answer:

I'll answer one question

Step-by-step explanation:

a. x >= -4. This reads, the domain is greater than and equal to negative four to infinity.

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2 years ago

Suppose the test scores of students in a class are normally distributed with a mean of 86 and a standard deviation of 4. What is

WARRIOR [948]

Answer:

-2.5

Step-by-step explanation:

Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test

To calculate the z-score, we need to use a mathematical formula

Mathematically;

z-score = (x - mean)/SD

From the question;

x = 76

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3 years ago

At 107°F, a certain insect chirps at a rate of 92 times per minute, and at 113°F, they chirp 116 times per minute. Write an equa

dsp73

Answer:

The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.

Step-by-step explanation:

A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:

$m=\frac{y2-y1}{x2-x1}$

Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.

In this case:

(x1, y1): (92, 107)
(x2, y2): (116, 113)

So:

$m=\frac{113-107}{116-92}$

m= 0.25

substituting the values of m, x1 and y1 in the equation y = mx + b you have:

107= 0.25*92 + b

107 - 0.25*92= b

84=b

The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.

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2 years ago

What is the place value of 9 in 6545 . 965

Lana71 [14]

Answer:

Tenths is the correct answer because the first digit after the decimal represents the tenths place. the next digit after the decimal represents the hundredths place the remaining digits continue to fill in the place values until there are no digits left.

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3 years ago

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elena55 [62]

Answer:

(4, -5)

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