1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mrac [35]
2 years ago
10

Find dy/dx if y= (cos x) ^ x

Mathematics
1 answer:
Elan Coil [88]2 years ago
5 0
Y = (cos x)^x
log y = log (cos x)^x = x log (cos x)
1/y dy/dx = x * 1/cos x * -sin x + log (cos x) = -xsin x / cos x + log (cos x) = log (cos x) - xtan x
dy/dx = y(log (cos x) - xtan x) = (cos x)^x (log (cos x) - xtan x)


You might be interested in
Let f(x)=2x^2+7x-5 and g(x)=-8x^2-3x+5 what is g(x)+f(x)
ser-zykov [4K]
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5
g(x) + f(x) = -8x² - 3x + 5 + 2x² + 7x - 5 = - 6x² + 4x

Answer: -6x² + 4x
4 0
3 years ago
Read 2 more answers
Finding Slopes of Perpendicular Lines
MA_775_DIABLO [31]

Answer:

1. d - b

2. -d (-b)

3. -d + b

Step-by-step explanation:

202 on edg yakdvb

7 0
2 years ago
Andrew walks 3/4 mile in 10 minutes. Jill walked 4/5 mile in 15 minutes. What was the difference in their speeds, in miles per h
andreyandreev [35.5K]
The difference of their speeds is 1.3 mph because Andrew was walking 4.5 mph and Jill was walking 3.2mph.
3 0
2 years ago
What is the equation of the line that passes through the point (-4,4)(−4,4) and has a slope of -3−3?
drek231 [11]

Answer:

<h2>         <u>y = -3x - 8</u></h2>

Step-by-step explanation:

The equation of the line that passes through the point <em>(x₁, y₁)</em> and has a slope of <em>m</em> in point-slope form is: y - y₁ = m(x - x₁)

m = -3

(-4, 4)   ⇒   x₁ = -4,  y₁ = 4

Therefore:

y - 4 = -3(x - (-4))

<u>y - 4 = -3(x + 4) </u><u> </u>    ← point-slope form

y - 4 = -3x - 12   {add 4 t both sides}

<u>y = -3x - 8   </u>    ←  slope intercept form

5 0
3 years ago
I need help finding x I’m
AysviL [449]
X = 18 because the two values are equal to each other
3 0
2 years ago
Read 2 more answers
Other questions:
  • A circuit starts and ends at different vertices.<br> True<br> False
    12·1 answer
  • What is 6% of 24,300
    10·2 answers
  • (4x - 6y3)2
    15·1 answer
  • suppose linda had 2/3 of a yard of fabric and told Sandra that she used 3/4 of a yard. Sandra says this is not possible. Do you
    13·1 answer
  • How to solve this help pls
    14·1 answer
  • the length of a rectangle is 8 centimeters less than 3 times the width. write a polynomial that represents the area of the recta
    5·1 answer
  • 6 of 8
    7·2 answers
  • RST has vertices R(0,0), S(6,3), and 7(3,-3). R'S'T is the image of RST after adilation with center (0,0) and scale factor 1/3.
    12·1 answer
  • What is the vertex of the graph of the function f(x) = x^2 + 8x - 2?
    8·1 answer
  • Find the distance between the points. ​(-2​,​2) and ​(-2​,10​)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!