Interpretação Geométrica da Derivada

Vamos entender o conceito de derivada?
Na construção a seguir, arraste o ponto P e veja o que ocorre com o ponto D. Este (ponto D) é construído com a abscissa do ponto P e a ordenada dele é a inclinação 'm' da reta tangente. [br][br]O gráfico pontilhado mostra onde o ponto D passará. Esse pontilhado cria um traço que é o gráfico de uma função: a função derivada f'(x).[br][br]Você pode modificar a função f(x) editando o campo existente no canto esquerdo superior. ;-)
Qual a derivada?
Qual a derivada da função f(x)=x³ quando x=2?
Qual a derivada?
Qual a derivada da função f(x)=1/x quando x=2?
Qual a derivada?
Qual a derivada da função f(x)=ln(x) quando x=1?
Qual a relação?
Qual a relação entre o sinal da função derivada (se ela retorna valores positivos ou negativos) e a região de crescimento ou decrescimento da função original?[br][br]Obs.: pode haver mais de uma resposta correta.
Como podemos encontrar região de crescimento de uma função dada?
Se eu sei encontrar a função derivada de uma função original dada, o que é necessário fazer para descobrir onde a função original é crescente?
Será que a função original é crescente ou decrescente?
Observe o gráfico a seguir:[br][br][center][img]data:image/png;base64,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[/img][/center][justify]Observe que esta função, cujo gráfico está em vermelho acima, retorna SEMPRE valores positivos. O que podemos dizer sobre a função cuja derivada é a função mostrada acima?[br][/justify]
Será que a função original é crescente ou decrescente?
Observe o gráfico a 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[/img][/center][justify]Observe que esta função, cujo gráfico está em vermelho acima, retorna SEMPRE valores positivos. O que podemos dizer sobre a função cuja derivada é a função mostrada acima?[br][/justify]
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Information: Interpretação Geométrica da Derivada