Derivatives of Logarithmic Functions

This worksheet focuses on understanding and calculating derivatives of logarithmic functions for Grade 9 Calculus students.

Grade 9 Math CalculusDerivatives of Logarithmic Functions

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HS.C.A.1CCSS.MATH.CONTENT.HS.C.A.2

Topics

CalculusDerivativesLogarithmsFunctionsGrade 9 Math

7 sections · Free to use · Printable

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Carefully read each question and provide your answers in the space provided. Show all your work for full credit.

1. What is the derivative of f(x) = ln(x)?

1/x

e^x

ln(x)

2. If f(x) = log_a(x), then f'(x) is equal to:

1/(x * ln(a))

x * ln(a)

1/x

a^x

3. The derivative of ln(u) with respect to x, where u is a function of x, is .

4. The natural logarithm function is denoted by .

5. Find the derivative of y = ln(2x+1).

6. Differentiate f(x) = x^2 * ln(x).

7. The derivative of y = ln(x^2) is 2/x.

True

False

8. The derivative of log_10(x) is 1/(x * ln(10)).

True

False

9. A function is given by g(x) = ln(sqrt(x)). Find g'(x).

10. If y = (ln x)^3, find dy/dx.