Derivatives and Integrals of Exponential Functions of base e

Authored by Kristin D'Emanuele

Mathematics

9th - 12th Grade

CCSS covered

Used 16+ times

Derivatives and Integrals of Exponential Functions of base e

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13 questions

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FILL IN THE BLANKS QUESTION

10 mins • 1 pt

If f(4) = 8 then f ^-1(8)=

(a)

Tags

CCSS.HSF-BF.B.4C

FILL IN THE BLANKS QUESTION

10 mins • 1 pt

If f(3) = 8, and f ' (3) = 7, then the derivative of the inverse of f(x) at x =8 is:

(a)

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$f\left(x\right)=x^3+3x$
What is $f\ '\ \left(2\right)?$

-1

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the derivative:
y=4e^x²

y'=8xe

y'=8xe^x²

y'=8xe^2x

y'=8xe^4x²

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the derivative.
f(x) = -8x^-3 + 5x - e^x

f'(x) = -24x^-4 + 5 - e^x

f'(x) = 24x^-4 + 5 - e^x

f'(x) = 24x^-2 + 5 - e^x

f'(x) = 24x^-4 + 5 - e^x-1

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the derivative:
y=e^5x

y'=e^5x

y'=5e^5x

y'=5e^x

y'=(1/5)e^5x

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the derivative:
y=5x²e^3x

y'=10xe^3x(2x+3)

y'=5xe^3x(3x+2)

y'=10ex^3x(3x+2)

y'=5xe^3x(2x+3)

10.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is the slope of the tangent line at $x=2$ if $f\left(x\right)=2e^{-3x}$ ?

$-6e^6$

$6e^6$

$-6e^{-6}$

$6e^{-6}$

$-e^6$

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