This is a question dealing with finding the derivative of a function

  • Thread starter Thread starter thesailorbaby
  • Start date Start date
  • Tags Tags
    Derivative Function
Click For Summary
SUMMARY

The discussion centers on finding the derivative of the function f(x) = √3 cos^5(sin(x²) - 3/³√x). Participants express confusion regarding the differentiation process and seek clarification on the correct interpretation of the function. The chain rule is identified as a crucial concept for solving the problem. Clear understanding and application of the chain rule will facilitate the differentiation of complex functions like the one presented.

PREREQUISITES
  • Understanding of calculus concepts, specifically derivatives
  • Familiarity with the chain rule in differentiation
  • Knowledge of trigonometric functions and their properties
  • Ability to manipulate algebraic expressions involving roots and powers
NEXT STEPS
  • Study the application of the chain rule in calculus
  • Practice differentiating composite functions
  • Explore the properties of trigonometric functions in calculus
  • Review algebraic manipulation techniques for complex expressions
USEFUL FOR

Students studying calculus, particularly those struggling with differentiation techniques and the application of the chain rule in complex functions.

thesailorbaby
Messages
2
Reaction score
0

Homework Statement



The problem is : f(x)= √3 cos^5(sinx²-3/³√x)

Homework Equations



The only thing i kno is that f prime of x comes next and that's all.. calculus is kind of confusing but i'll make sure i understand with your help. Thanks in advance

The Attempt at a Solution



S.O.S
 
Physics news on Phys.org
I don't understand finding the derivative of a functionn is hard please explan to me please. I really would appreciate it.
 
Is this the function you want to differentiate?
[tex]f(x)~=~\sqrt{3}cos^5\left(sin(x^2) - \frac{3}{\sqrt[3]{x}}\right)[/tex]

Or is it this?
[tex]f(x)~=~\sqrt{3}cos^5\left(sin^2(x) - \frac{3}{\sqrt[3]{x}}\right)[/tex]

Or something else?

Do you know the chain rule?
 

Similar threads

Derivative of a sinusoidal function
  • · Replies 2 ·
Replies
2
Views
2K
Trying To Use Squeeze Theorem To Prove Derivatives Are Equal
  • · Replies 4 ·
Replies
4
Views
2K
Purpose of the derivative of the inverse function
  • · Replies 7 ·
Replies
7
Views
2K
What Are the Inflection Points of a Second Derivative Function?
  • · Replies 7 ·
Replies
7
Views
2K
How to find the derivative of this function
  • · Replies 8 ·
Replies
8
Views
2K
Determine the second derivative of a function
  • · Replies 9 ·
Replies
9
Views
1K
Derivative of Inverse Function
  • · Replies 14 ·
Replies
14
Views
2K
Derivative of a Complex Function
  • · Replies 4 ·
Replies
4
Views
2K
Determine a function and derivative from a given graph
  • · Replies 8 ·
Replies
8
Views
4K
Lagrange multipliers understanding
  • · Replies 8 ·
Replies
8
Views
2K