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3 years ago

8

What is the slope of the line?

1 answer:

lutik1710 [3]3 years ago

7 0

Answer:

todavía no me la sé pero al rato te mando la respuesta

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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:

f(x) = cxⁿ
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>

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

99 POINTS! If the area of the figure is 16 square centimeters, what is the height of the triangle?

erastovalidia [21]

Answer:

The height of the triangle is 3.2 cm.

Step-by-step explanation:

The area of the triangle = $16 cm^2$

Base of the triangle = 10 cm

Height of the triangle = h cm

Area of the triangle = $\frac{1}{2}\times Base\times height$

$16 cm^2=\frac{1}{2}\times 10 cm \times h$

h = 3.2 cm

The height of the triangle is 3.2 cm.

8 0

3 years ago

Read 2 more answers

Can someone please help me

Evgesh-ka [11]

Answer:

UW ≈ 6.55 ≈ 7

Step-by-step explanation:

cos (35) = adjacent/hypotenuse

cos(35) = UW/VW

cos(35) = UW/8

8*cos(35) = UW

UW ≈ 6.55

Hope this helped! <3

7 0

3 years ago

If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.

Cerrena [4.2K]

Answer: 24 5 + 9 = 15 + 9 = 24

Step-by-step explanation:

7 0

3 years ago

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Will give brainlest :)

snow_lady [41]

Answer:

C)

Step-by-step explanation:

4 0

3 years ago