Logarithmic Differentiation Lesson Slides: 3 Slides

3 Slides • 6 Questions

1

Logarithmic Differentiation

Examples

2

3

$f\left(x\right)=e^{2x}\left(x+1\right)^3$

$f'\left(x\right)=?$

4

Fill in the Blanks

$f\left(x\right)=e^{2x}\left(x+1\right)^3$
$Applying\ Ln\ :$
$\ln f\left(x\right)=$

Type answer...

5

Fill in the Blanks

$f\left(x\right)=e^{2x}\left(x+1\right)^{3\ \ \ \ \ \ Then\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }\frac{f'\left(x\right)}{f\left(x\right)}=$

Type answer...

6

Multiple Choice

Solving by f'(x)=

1

$f'\left(x\right)=\left(2+\frac{3}{\left(x+1\right)}\right)\left|fx\right|$

2

$f"\left(x\right)=\ln\ \left(2x+\frac{3}{x+1}\right)e^{2x\ }\left(x+1\right)^3$

7

Multiple Choice

Find the derivative:

y=5x²e^3x

1

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

2

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

3

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

4

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

8

Multiple Choice

Find the differentiation of $\ln\left(\sqrt{x^3+2x}\right)$

1

$\frac{3x^2+2}{x^3+2x}$

2

$\left(\frac{1}{2}.\frac{3x^2+2}{x^3+2x}\right)$

3

$\frac{3x^2+2}{x^3+2}$

9

Multiple Choice

1

a

2

b

3

c

4

d

5

e

Logarithmic Differentiation

Examples

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