Mathematics

12th

grade

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Derivatives of Exponential Function

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  • 1. Multiple Choice
    30 seconds
    1 pt

    If  y=e2x3y=e^{-2x^3}  , then  dydx=\frac{\text{d}y}{\text{d}x}=  

     A.    2x3e2x3A.\ \ \ \ -2x^3e^{-2x^3}  

     B.      e2x3B.\ \ \ \ \ \ e^{-2x^3}  

     C.    6x2e2x3C.\ \ \ \ -6x^2e^{-2x^3}  

     D.      e6x2D.\ \ \ \ \ \ e^{-6x^2}  

     E.     6x2e6x2E.\ \ \ \ \ -6x^2e^{-6x^2}  

  • 2. Multiple Choice
    30 seconds
    1 pt

    The exact value of f(2)f'\left(-2\right)  if  f(x)=2e3xf\left(x\right)=2e^{-3x}  is:

     A.     6e6A.\ \ \ \ \ -6e^6  

     B.     6e6B.\ \ \ \ \ 6e^6  

     C.    6e6C.\ \ \ \ -6e^{-6}  

     D.     6e6D.\ \ \ \ \ 6e^{-6}  

     E.     e6E.\ \ \ \ \ -e^6  

  • 3. Multiple Choice
    1 minute
    1 pt
    What is the derivative of ex?
    xex-1
    xe
    ex
    ex-1
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