Differentiation

Descrição

Diagnostic Maths Test Quiz sobre Differentiation, criado por Jackie Grant em 02-02-2017.
Jackie Grant
Quiz por Jackie Grant, atualizado more than 1 year ago
Jackie Grant
Criado por Jackie Grant quase 8 anos atrás
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Resumo de Recurso

Questão 1

Questão
\( { \rm If} \ y = x^2 +7, { \rm \ differentiating} \ y \ {\rm with \ respect \ to} \ x\ {\rm gives}\)
Responda
  • \( x +7 \)
  • \( x +C , \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
  • \( 2x +7 \)
  • \( 2x \)
  • \(0.5 x^3 +C , \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)

Questão 2

Questão
\( x = 3 \cos ( \pi t + \frac{2\pi}{3} ), \ {\rm find \ the \ value \ of } \frac{dx}{dt} {\rm when} \ t=1.0. \ Note \ the \ angle \ is \ measured \ in \ radians. \)
Responda
  • \( -0.86 \)
  • \( 8.2 \)
  • \( 0 \)
  • \( -2.6 \)
  • \( 1.5 \)

Questão 3

Questão
\( { \rm If} \ y = 6e^{2x} , { \rm \ differentiating} \ y \ {\rm with \ respect \ to} \ x\ {\rm gives}\)
Responda
  • \( 12e^{2x} \)
  • \( 6xe^2 \)
  • \( 6e^{2x} \)
  • \( 6xe^{2x} \)
  • \( 12e^x \)

Questão 4

Questão
\( { \rm If} \ y = 2{\rm sin}(2x+\pi), { \rm \ differentiating} \ y \ {\rm with \ respect \ to} \ x\ {\rm gives}\)
Responda
  • \( 4 {\rm cos}(2x+\pi) \)
  • \( 4x{\rm cos}(2x+\pi) \)
  • \( 4 {\rm sin}(2x+\pi) \)
  • \( 4x {\rm sin}(2x+\pi) \)
  • \( 2x {\rm cos}(2x+\pi) \)

Questão 5

Questão
\( { \rm An \ arrow \ is \ fired \ which \ travels \ with \ vertical \ motion \ described \ by } \ y = -5t^2+10t .\) \( { \rm \ It \ hits \ a \ target \ at \ t=1.5s. \ Is \ the \ arrow \ ascending, \ or \ descending \ when \ it \ hits?}\)
Responda
  • \( {\rm Ascending }\)
  • \( {\rm Descending }\)

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