Derivada da Função Exponencial e Logarítmica

Presentation

•

Mathematics

•

11th - 12th Grade

•

Hard

Carlota Brazileiro

Used 2+ times

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2 Slides • 12 Questions

Derivada da Função Exponencial e Logarítmica

Aula de Revisão dos conhecimentos

Multiple Select

Considerando a função derivada da função f(x)

f'\left(x\right)=\frac{1}{x}

Indica qual a expressão da função f(x).

$y=x^{-1}$

$y=\ln x$

$y=\log\ x$

$y\ =\ 3\ +\ \ln x\$

Multiple Choice

Uma população N(t) de micróbios cresce exponencialmente de acordo com a expressão N = 3000.3^t, sendo t em horas. Indique o valor de t para o qual se tem: N(t) = 81.000.

Multiple Choice

A expressão f(t)=12(1.015)^t modela uma população de elefantes num refugio animal a partir do ano de 1975.

No ano de 1985 qual era aproximadamente o número de elefantes no refugio?

12, 7

13,9

Multiple Select

Deriva y(x) e simplifica:
$y=\ln\left(\frac{x+1}{x-1}\right)$

$y=\frac{-2x}{\left(x-1\right)^2}$

$y=\frac{-1}{\left(x+1\right)\left(x-1\right)}$

$y=\frac{-2}{x^2-1}$

$y=\frac{-1}{x+1}$

Multiple Choice

Derivar

f\left(x\right)=Ln\ 2x^2

$f´\left(x\right)=\frac{4x}{3}$

$f´\left(x\right)=\frac{2}{x}$

$f´\left(x\right)=\frac{x}{2}$

$f´\left(x\right)=4x$

Multiple Choice

Derivar

f\left(x\right)=Ln\ 5x\

$f´\left(x\right)=\frac{1}{x}$

$f´\left(x\right)=\frac{5}{x}$

$f´\left(x\right)=\frac{x}{5}$

$f´\left(x\right)=5$

Multiple Choice

Qual é o valor de e^ln(f)

e^f

f^e

Multiple Choice

log 200 - log 20

log 180

log 4000

log 10

Multiple Choice

Qual é o ponto de interseção com o eixo OY?

(0,0)

(0,3)

(3,0)

(1,1)

Multiple Choice

Qual o valor da função
$f\left(x\right)=300\left(1,16\right)^x$ no instante inicial x=0

300

1.16

.16

Fill in the Blanks

A massa de substancia radioativa numa dada amostra é dada pela fórmula:

$A (t) = 500 \times e^{- 0, 09 t}$
Com t em anos e A(t) em miligramas.

Quantos miligramas havia no início da contagem do tempo?
Introduz o valor correto, sem unidades, por ex. 150

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Derivada da Função Exponencial e Logarítmica

Aula de Revisão dos conhecimentos

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