Differentiation

Descripción

Diagnostic Maths Test Test sobre Differentiation, creado por Jackie Grant el 02/02/2017.
Jackie Grant
Test por Jackie Grant, actualizado hace más de 1 año
Jackie Grant
Creado por Jackie Grant hace más de 7 años
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Resumen del Recurso

Pregunta 1

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

Pregunta 2

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

Pregunta 3

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

Pregunta 4

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

Pregunta 5

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