Derivatives of exponential functions

Authored by Fatma Ibrahim

Mathematics

12th Grade

CCSS covered

Used 21+ times

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10 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

$-2x^3e^{-2x^3}$

$e^{-2x^3}$

$-6x^2e^{-2x^3}$

$e^{-6x^2}$

$-6x^2e^{-6x^2}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

$-6e^6$

$6e^6$

$-6e^{-6}$

$6e^{-6}$

$-e^6$

Find the derivative:
y=4e^x²

y'=8xe^x

y'=8xe^x²

y'=8xe^2x

y'=8xe^4x²

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the derivative of e^x?

xe^x-1

x^e

e^x

e^x-1

Derive y=e^3x

e^3x

3e^3x

3xe^3x

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the derivative:
y=e^5x+ln(x)

e^5+1/x

e^5x+ln(x)

(5+1/x) e^5x+ln(x)

(5/x) e^5x+ln(x)

Find the derivative:
y = 3ln(x²-3)

6x/(x²-3)

3/(x²-3)

3x/(x²-3)

9x/(x²-3)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$y=e^{4x}?$ Find the derivative of

$e^{4x}$

$\frac{e^{4x}}{4}$

$4e^{4x}$

$-4e^{4x}$

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Derivatives of exponential functions

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