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shutvik [7]
3 years ago
15

X-2(x+3)help me plzz. ​

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

divide with the 3 first

Step-by-step explanation: Then  the rest

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If f(x) = 9x10 tan−1x, find f '(x).
djverab [1.8K]

Answer:

\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)  

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = 9x^{10} \tan^{-1}(x)

<u>Step 2: Differentiate</u>

  1. [Function] Derivative Rule [Product Rule]:                                                   \displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  2. Rewrite [Derivative Property - Multiplied Constant]:                                  \displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  3. Basic Power Rule:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  4. Arctrig Derivative:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

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

Unit: Differentiation

7 0
3 years ago
Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide a
sukhopar [10]

Answer:

0.42 ft

0.92 ft

Step-by-step explanation:

Width of mural on painting = 5 inches

Height of mural on painting = 11 inches

12 inches of the painting represents 1 foot of the mural

1 inch of the painting represenets \dfrac{1}{12} foot of the mural.

5\ \text{inches}=5\times \dfrac{1}{12}=0.42\ \text{ft}

11\ \text{inches}=11\times\dfrac{1}{12}=0.92\ \text{ft}

The width of the mural is 0.42 ft and height of the mural is 0.92 ft.

5 0
3 years ago
Can some one solve for r please 15r-6r=36
myrzilka [38]

Answer:

R=4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A circle has a radius of 3 in, what is the length of the arc created by an angle measure 1 radian?
Luba_88 [7]

Answer:

3 inches

Step-by-step explanation:

i'm 98% sure

5 0
3 years ago
PLS HELP ME I NEED AN ANSWER QUICK!
k0ka [10]
So 30 and 2.5 would be subtracted and added by whatever value. Then divided hope that helped
5 0
4 years ago
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