Derivatives of Exponential Function

Derivatives of Exponential Function

Assessment

Assessment

Created by

Hearty Barcebal

Mathematics

12th Grade

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10 questions

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1.

Multiple Choice

30 sec

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 sec

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 min

1 pt

What is the derivative of ex?

xex-1

xe

ex

ex-1

4.

Multiple Choice

30 sec

1 pt

Derive y=e3x

e3x

3e3x

3x

3xe3x

5.

Multiple Choice

5 mins

1 pt

Find the derivative f(x) = xex

A. f'(x) = ex

B. f'(x) = xex + xex

C. f'(x) = ex - xex

D. f'(x) = ex + xex

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