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2 years ago

The questions is on the picture

Mathematics

2 answers:

stiv31 [10]2 years ago

8 0

Answer:

-7>-12

2>-2

-5<-3

∣-9∣ = 9

∣13∣ = 13

∣-5∣ = 5

Step-by-step explanation:

Hope this helps.Please mark my answer as brainliest

allochka39001 [22]2 years ago

5 0

Answer:

EASY:

Step-by-step explanation:

-7 > -12

2 > -2

-5 < -3

|-9| is maybe 9.

|13| is 13.

|-5| is maybe 5.

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myrzilka [38]

Answer:

$\displaystyle f'(x) = \frac{4}{x^2}$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Differentiation

Derivatives
Derivative Notation

The definition of a derivative is the slope of the tangent line: $\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle f(x) = -\frac{4}{x}$

Step 2: Differentiate

[Function] Substitute in x: $\displaystyle f(x + h) = -\frac{4}{x + h}$
Substitute in functions [Definition of a Derivative]: $\displaystyle f'(x) = \lim_{h \to 0} \frac{-\frac{4}{x + h} - \big( -\frac{4}{x} \big)}{h}$
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Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle f'(x) = \frac{4}{x(x+ 0)}$
Simplify: $\displaystyle f'(x) = \frac{4}{x^2}$