Mastering Derivatives and Logarithms

Mastering Derivatives and Logarithms

Professional Development

16 Qs

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Mastering Derivatives and Logarithms

Mastering Derivatives and Logarithms

Assessment

Quiz

Mathematics

Professional Development

Practice Problem

Hard

Created by

Puteri Mustapha

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of ln(x) with respect to x?

1

1/x

ln(x)

x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Apply the chain rule to find the derivative of ln(g(x)) where g(x) = x^2 + 3x.

(2x + 3) / (x^2 + 3x)

(2x + 3) / (x^2)

(2x + 3) / (2x + 3)

(x^2 + 3) / (2x + 3)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Differentiate ln(x^2 + 1) using the chain rule.

2/(x^2 + 1)

x/(x^2 + 1)

2x/(x^2 + 1)

2x^2/(x^2 + 1)^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of ln(2x + 1)?

ln(2x + 1)

2/(2x + 1)

1/(2x + 1)

2x/(2x + 1)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If y = ln(x^2 + 4x + 4), what is dy/dx?

(2x + 4) / (x^2 + 4x + 4)

(x + 2) / (x^2 + 4)

(2x + 2) / (x^2 + 4x)

(4x + 4) / (x^2 + 4x + 4)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Differentiate ln(3x^3 + 2) using implicit differentiation.

rac{3x^2}{3x^3 + 2}

rac{27x^3}{3x^3 + 2}

rac{9x^2}{6x^2}

\frac{9x^2}{3x^3 + 2}

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of ln(x + x^2 + 1) using the chain rule.

(2x) / (x + x^2 + 1)

(1 + 2x) / (x + x^2 + 1)

(1 + x^2) / (x + x^2 + 1)

(1 + x) / (x + x^2 + 1)

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