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IgorLugansk [536]

4 years ago

15

How do i find the derivative of

9 \div \sqrt{x} " alt="9 \div \sqrt{x} " align="absmiddle" class="latex-formula">

1 answer:

Alekssandra [29.7K]4 years ago

4 0

Possible derivation:
d/dx(3)
The derivative of 3 is zero:
Answer: = 0

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Answer:

See explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Functions
Function Notation

<u>Calculus</u>

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Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = \left \{ {{\sqrt{x + 1}, \ x < 3} \atop {5 - x, \ x \geq 3}} \right.$

<u>Step 2: Find Right Limit</u>

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Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 3^+} 5 - x = 5 - 3$
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<em>The right and left-side limits are equal.</em>

∴ $\displaystyle \lim_{x \to 3} f(x) = 2$

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

Unit: Limits

Book: College Calculus 10e

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