Mathematics, 15.06.2021 17:20 1074885

Please help!! i have no clue what to do and this packet is due tonight.

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Answer from: diiamondgraham1

[C] 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Expand by FOILFactoring

Calculus

Limits

Derivatives

Definition of a Derivative: $\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{h \to 0} \frac{f(3 + h) - f(3)}{h}$

$\displaystyle f(x) = x^3$

Step 2: Solve

Substitute in function value: $\displaystyle \lim_{h \to 0} \frac{(3 + h)^3 - 3^3}{h}$ Evaluate exponents: $\displaystyle \lim_{h \to 0} \frac{(3 + h)^3 - 27}{h}$ Expand: $\displaystyle \lim_{h \to 0} \frac{h^3 + 9h^2 + 27h + 27 - 27}{h}$ [Subtraction] Combine like terms: $\displaystyle \lim_{h \to 0} \frac{h^3 + 9h^2 + 27h}{h}$ Factor: $\displaystyle \lim_{h \to 0} \frac{h(h^2 + 9h + 27)}{h}$ Simplify: $\displaystyle \lim_{h \to 0} h^2 + 9h + 27$ Evaluate limit: $\displaystyle 0^2 + 9(0) + 27$ Evaluate exponents: $\displaystyle 9(0) + 27$ Multiply: $\displaystyle 27$

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

Unit: Derivatives

Book: College Calculus 10e

Answer from: Quest

answer: 12

step-by-step explanation:

because yes

Answer from: Quest

Ithink you’re answering is d

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