Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

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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**Differentiation Problem**

Differentiate the function with respect to \( y \):

\[ z = \frac{A}{y^6} + Be^y \]

By differentiating the given function with respect to \( y \), we obtain:

\[ z' = -\frac{8A}{y^9} + Be^y \]

Note: The differentiation operation applied to each term follows these rules:
- For \( \frac{A}{y^6} \), use the power rule and chain rule.
- For \( Be^y \), use the derivative of the exponential function.

The red cross icon at the bottom indicates the derived expression might be incorrect, implying that a re-evaluation of the differentiation may be necessary.
Transcribed Image Text:**Differentiation Problem** Differentiate the function with respect to \( y \): \[ z = \frac{A}{y^6} + Be^y \] By differentiating the given function with respect to \( y \), we obtain: \[ z' = -\frac{8A}{y^9} + Be^y \] Note: The differentiation operation applied to each term follows these rules: - For \( \frac{A}{y^6} \), use the power rule and chain rule. - For \( Be^y \), use the derivative of the exponential function. The red cross icon at the bottom indicates the derived expression might be incorrect, implying that a re-evaluation of the differentiation may be necessary.
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