Find the derivative of f (y) 155/7 In(y)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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## Calculus Support

**Remaining "How Did I Do?" Uses: 0/3**

### Problem Statement

Find the derivative of the function:

\[ f(y) = \frac{15 \sqrt[5]{y}}{\ln(y)} \]

### Note

Enclose arguments of functions, numerators, and denominators using parentheses to clarify operations between symbols. For example, write \( a \cdot \pi \).

---

The image contains a mathematical expression with a focus on differentiating a function involving roots and logarithms. The expression uses logarithmic notation (ln) and fractional exponent notation (\(\sqrt[5]{y}\)), highlighting an advanced calculus topic. The exercise aims to practice derivation skills using these mathematical concepts. The explanation also includes an emphasis on the proper usage of notation to ensure clarity.

The lower portion of the image, partially cut off, contains what appears to be mathematical expressions and possibly formulae, denoting various operations (e.g., exponents, trigonometric functions) that may relate to calculus operations, such as finding derivatives or integrals. However, due to partial visibility, detailed transcription is not possible.
Transcribed Image Text:## Calculus Support **Remaining "How Did I Do?" Uses: 0/3** ### Problem Statement Find the derivative of the function: \[ f(y) = \frac{15 \sqrt[5]{y}}{\ln(y)} \] ### Note Enclose arguments of functions, numerators, and denominators using parentheses to clarify operations between symbols. For example, write \( a \cdot \pi \). --- The image contains a mathematical expression with a focus on differentiating a function involving roots and logarithms. The expression uses logarithmic notation (ln) and fractional exponent notation (\(\sqrt[5]{y}\)), highlighting an advanced calculus topic. The exercise aims to practice derivation skills using these mathematical concepts. The explanation also includes an emphasis on the proper usage of notation to ensure clarity. The lower portion of the image, partially cut off, contains what appears to be mathematical expressions and possibly formulae, denoting various operations (e.g., exponents, trigonometric functions) that may relate to calculus operations, such as finding derivatives or integrals. However, due to partial visibility, detailed transcription is not possible.
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