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Natasha_Volkova [10]
3 years ago
11

Use logarithmic differentiation to find dy/dx if y=(cosx)sinx. Write the derivative in terms of x only. Show all your work.

Mathematics
2 answers:
gladu [14]3 years ago
7 0

Step-by-step explanation:

y = (cos x)^(sin x)

Take log both sides.

ln y = ln ((cos x)^(sin x))

ln y = (sin x) ln (cos x)

Take derivative.

1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)

dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]

dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]

Your answer is correct.

andriy [413]3 years ago
6 0

Answer:

[(cosx)^(sinx)][-sinx(tanx) + (cosx)ln(cosx)]

Step-by-step explanation:

y = (cosx)^(sinx)

lny = (sinx) × ln(cosx)

(1/y)×dy/dx = (sinx)(1/cosx)(-sinx) + (cosx)ln(cosx)

(1/y)dy/dx = -sinxtanx + (cosx)ln(cosx)

dy/dx = y[-sinxtanx + (cosx)ln(cosx)]

dy/dx =

[(cosx)^(sinx)][-sinxtanx + (cosx)ln(cosx)]

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The​ _____ _____, denoted modifyingabove p with caret​, is given by the formula modifyingabove p with caretequals​_____, where x
elena-14-01-66 [18.8K]

Answer:

Sample proportion ; phat

x / n

Step-by-step explanation:

The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.

The sample proportion is expressed Mathematically as ;

phat = x / n

x = number of subjects with a specified characteristic ;

n = total sample size

For instance ;

The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :

phat = x / n = 15 / 100 = 0.15

5 0
2 years ago
This is page four what is the answer
Fittoniya [83]

Answer:

The answer is she lost 9 matches

Step-by-step explanation:

5 0
2 years ago
Help please i need help if i get this one wrong i need to start over
earnstyle [38]

Answer:

Step-by-step explanation:

Right/left by 3 units because in the equation, it added 3. Right because it is positive and Right/Left because this represents the change in the x-axis.

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6 0
3 years ago
What is an equation of the line that is parallel to y=-4x - 5 and passes through the point (-2, 6)?
Alex73 [517]

Answer:

B.) y=-4x-2

Step-by-step explanation:

If the line is parallel, the slope is the same

y = -4x-5 has a slope of -4, so the new line has a slope of -4

We have a slope and a point, so we can use point slope form

y-y1 = m(x-x2)

y-6 = -4(x--2)

y-6 = -4(x+2)

Distribute

y-6 =-4x -8

Add 6 to each side

y-6+6 = -4x-8+6

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3 0
3 years ago
HELP ASAP DUE TOMORROW
vesna_86 [32]

Answer:

5) P (arrive) + P (not arrive) = 100%   Complements

80% + P( not arrive) = 100%    Substitute thr ralees

P ( not arraive) = 100% - 80%   Isolate the needed

P ( not arrive) = 20%

therefor, the probability of not arriving on time is:-

20%, or 0.20, or 1/5

The complements of arriving on time is not arriving on time.

The probability is equal to 100%

<u>--------------------------------</u>

<u>hope it helps..</u>

<u>have a great day!</u>

7 0
3 years ago
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