Using derivatives to determine the increase and decrease of functions

  • #1

Homework Statement:

Given the function, f (x) = 4x^6 - 3x^5

show, using interval notation, where the function is decreasing and increasing.

Please give step-by-step details on using derivatives to analyze functions.

Relevant Equations:

f (x) = 4x^6 - 3x^5
many attemps made
 

Answers and Replies

  • #2
PeroK
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What's ##f'(x)##?
 
  • #3
haruspex
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many attemps made
But to see where you are going wrong or getting stuck we need to see at least one of them.
 
  • #4
Delta2
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First step is to find the derivative of the function ##f'(x)##. Then to find for which x is ##f'(x)=0##, for which x is ##f'(x)>0## and for which x is ##f'(x)<0##. Then using the monotonicity theorems that relate the monotony of a function to where the first derivative is positive or negative , you can find for which x the function is increasing and for which x the function is decreasing.
 

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