Homework Help is Here – Start Your Trial Now!
Math
Calculus
Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
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.
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
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

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS