All categories

3 years ago

How do you find the derivative of y=log(x)y=log(x) ?

Mathematics

1 answer:

S_A_V [24]3 years ago

5 0

$y=\log x\\
y'=\frac{1}{x \ln 10}\\\\
(\log_a x)'=\frac{1}{x \ln a}$

You might be interested in

Formula to find commission

fiasKO [112]

A commission is a percentage of total sales,

multiply the rate of commission by the total sales

7 0

3 years ago

Read 2 more answers

Plsss Help Urgent!!! Which point represents the person who practiced the most and got the fastest time in a swim meet?

Marianna [84]

Answer:

Point X

Step-by-step explanation:

5 0

3 years ago

Liam descended from the summit of K2 (elevation= 28,251.31 feet) to an elevation of 23,201.06 feet. How many feet did Liam desce

saul85 [17]

Laim descended 5,050.25 feet and his elevation changed by -5,050.25.

6 0

4 years ago

3<br> Which expression is closest in value to 5.66?

Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

$\dfrac{\pi}{2} + \pi$

Let consider π = 3.14

$\dfrac{3.14}{2} + 3.14$

$1.57 + 3.14$

$4.71 \: (approx.)$

B) GiveN:

$2\pi - 1$

Here also, let's consider the value be 3.14

$2 \times 3.14 - 1$

$6.28 - 1$

$5.28 \: (approx.)$

C) GiveN:

$4 \sqrt{2}$

Let's consider the value of √2 be 1.414

$4 \times 1.414$

$5.6516 \: (approx.)$

D) GiveN:

$8 - \sqrt{3}$

Let's consider the value of √3 be 1.732

$8 - 1.732$

$6.268 \: (approx.)$

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

6 0

3 years ago

A square piece of paper has an area of x2 square units. A

Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip = length * width = 2*x = 2x

Area of square piece of paper when rectangular strip is taken away from it

= Area of square - area of rectangular strip

= $x^2 -2x$

It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.

Thus,

$x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\$

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

5 0

3 years ago