Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
The image presents a calculus problem that asks the reader to differentiate a given function. 

**Problem Statement:**

Differentiate the following function:

\[ y = 11x^4 + 3 \]

**Differentiation Task:**

Calculate the derivative of the expression with respect to \( x \):

\[ \frac{d}{dx} \left( 11x^4 + 3 \right) = \, \_ \]

Readers are expected to fill in the blank with the derivative they calculate. The task requires applying basic rules of differentiation, such as the power rule and constant rule.
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Transcribed Image Text:The image presents a calculus problem that asks the reader to differentiate a given function. **Problem Statement:** Differentiate the following function: \[ y = 11x^4 + 3 \] **Differentiation Task:** Calculate the derivative of the expression with respect to \( x \): \[ \frac{d}{dx} \left( 11x^4 + 3 \right) = \, \_ \] Readers are expected to fill in the blank with the derivative they calculate. The task requires applying basic rules of differentiation, such as the power rule and constant rule.
Expert Solution
Check Mark
Step 1: Formula for differentiation

As we know that 

fraction numerator d blank over denominator d x end fraction a to the power of x space equals space a to the power of x ln left parenthesis space a space right parenthesis space

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