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victus00 [196]
3 years ago
6

Use logarithmic differentiation to find the derivative with respect to x of the function y= (sin x)^lnx

Mathematics
1 answer:
Helga [31]3 years ago
4 0
Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.

y = (sinx)^lnx

ln(y) = ln((sinx)^lnx)

power rule logarithm

ln(y) = ln(x) ln(sinx)

Take derivative

y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx

multiply both sides by y

y' = y( ln(sinx)/x + ln(x)cotx )

remember y = (sinx)^lnx
sub this in for y

y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
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Functions assignment<br> Y= 2/3x+20 <br> When x=21 what is the function and solution
Nonamiya [84]

Answer:

y = 2/3 (21) + 20 (plug it in and multiply)

y = 14 +20 (add)

y = 34

(21,34)

Step-by-step explanation:

i hope this helps :)

3 0
3 years ago
Please help...Need help asap
luda_lava [24]

Answer:

1) $242.47

2) \frac{5}{27}

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3 years ago
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Andreas93 [3]
13500 m in 250 s
s is the second rate

deomenator is bottom number in a/b, denomenator is b


13500m/250s
use clculator or something to divide or use head
54m/s

answer is A
4 0
3 years ago
(50 points + Brainliest for RIGHT answer).
ycow [4]
(-2, 0) and (0, -2)
slope = (0+2)/(-2 - 0) = -1
b = -2

slope intercept equation
y = -x - 2

compare equation from given
y - 3 = -(x + 5)
y - 3 = -x - 5
y = -x - 5 + 3
y = -x - 2 (matched slope intercept equation)

answer is A
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5 0
3 years ago
Read 2 more answers
Find the surface area of the pyramid shown to the nearest whole number.
Snezhnost [94]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Surface area of a pyramid =

area of base + area of triangular faces

Since it's a square based pyramid

It's surface area is

area of base + 4( area of one triangular face)

Since the square has equal sides

<u>For square base </u>

Area of a square = l²

where l is the length

From the question l = 5

So we have

Area of square base = 5² = 25ft²

<u>For one of the triangular face</u>

Area of a triangle = ½ × base × height

base = 5

height = 6

Area = ½ × 5 × 6 = 15ft²

So the surface area of the pyramid is

25 + 4(15)

= 25 + 60

We have the final answer as

<h3>Surface area = 85 ft²</h3>

Hope this helps you

7 0
3 years ago
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