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mote1985 [20]
3 years ago
15

Un número que multiplicado te de 12 y restado de 7.​

Mathematics
1 answer:
maksim [4K]3 years ago
4 0

Answer84

Step-by-step explanation:

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Answer:

D. undefined

General Formulas and Concepts:

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

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

Trig Derivative:                                                                                                       \displaystyle \frac{d}{dx}[sinu] = u'cosu

Derivatives of Parametrics:                                                                                   \displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle \frac{dx}{dt} = 5

\displaystyle \frac{dy}{dt} = sin(t^2)

<u>Step 2: Differentiate</u>

  1. [x Derivative] Basic Power Rule:                                                                   \displaystyle \frac{d^2x}{dt^2} = 0
  2. [y Derivative] Trig Derivative [Chain Rule]:                                                 \displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2]
  3. [y Derivative] Basic Power Rule:                                                                   \displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot 2t^{2 - 1}
  4. [y Derivative] Simplify:                                                                                   \displaystyle \frac{d^2y}{dt^2} = 2tcos(t^2)
  5. [Derivative] Rewrite:                                                                                     \displaystyle \frac{d^2y}{dx^2} = \frac{2tcos(t^2)}{0}

Anything divided by 0 is undefined.

Topic: AP Calculus BC (Calculus I/II)

Unit: Differentiation with Parametrics

Book: College Calculus 10e

5 0
3 years ago
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