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Firdavs [7]
2 years ago
14

I need help i do not understand

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
7 0

Answer:same

Step-by-step explanata=ion:

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Find the derivative of ln(cosx²).​
RoseWind [281]

Answer:

\displaystyle \frac{dy}{dx} = -2x \tan (x^2)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = \ln (\cos x^2)

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. Rewrite [Trigonometric Identities]:                                                              \displaystyle y' = -2x \tan (x^2)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0
3 years ago
HELP! Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.
Lunna [17]

Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center and r is the radius

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

so

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

r=\sqrt{(0+4)^{2}+(0+3)^{2}}

r=\sqrt{(4)^{2}+(3)^{2}}

r=\sqrt{25}

r=5\ units

step 2

Find the equation of the circle

(x-h)^{2}+(y-k)^{2}=r^{2}

the center is the point (-3,-4) and the radius is r=5 units

substitute

(x+3)^{2}+(y+4)^{2}=5^{2}

(x+3)^{2}+(y+4)^{2}=25

6 0
2 years ago
Plz help this is past due
Ksivusya [100]

Answer:

-8

Step-by-step explanation:

if you sub in 8 as the value for y, you get

-4x - 8 = 24

add 8 on both sides to simplify

-4x = 32

divide both sides by -4

x = -8

3 0
2 years ago
Rearrange the word theet
jonny [76]

Answer: The word rearranged could be teeth.

:)

5 0
2 years ago
Read 2 more answers
Macy's is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bill total after applyin
34kurt

The final bill after applying discount will be $80.92

Step-by-step explanation:

Given,

Worth of items bought by Sara = $124.50

Discount = 35%

Amount of discount = 35% of worth of items

Amount of discount = \frac{35}{100}*124.50

Amount of discount = 0.35*124.50

Amount of discount = $43.575 = $43.58

Final bill = Worth of items - Amount of discount

Final bill = 124.50 - 43.58 = $80.92

The final bill after applying discount will be $80.92

Keywords: subtraction, percentage

Learn more about subtraction at:

  • brainly.com/question/11680012
  • brainly.com/question/11705002

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
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