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Chain rule on three functions
Chain-rule-on-three-functions 256
Description
Exercise Name: Chain rule on three functions
Math Missions: Differential calculus Math Mission, Integral calculus Math Mission
Types of Problems: 3

The Chain rule on three functions exercise appears under the Differential calculus Math Mission and Integral calculus Math Mission. This exercise involves finding the value of a number in the function.

Types of Problems[]

There are three types of problems in this exercise:

  1. What is the value of a number in the series?: This problem provides two functions with the graphs shown below. The user is asked to find out what the value of a number in the series is.
    Chainrule

    What is the value of a number in the function?

  2. What is the rule for the sequence?: This problem gives a function and then asks what the rule is. The user is required to find out the rule and write it below.
    Rule

    What is the rule for the function?

  3. What is the value for a number in the function?: This problem gives a function. Then it asks for the value of a number in the function. The user is required to answer this and write it in the space below.
    Value

    What is the value of a number?

Strategies[]

  1. It is important to know which part of the function is the outer function and inner function, so it can be solved easier.

Real-life Applications[]

  1. Functions are everywhere. They come into banking, surveying, flight, teaching, carpentry and automobile distance/mileage calculations.
  2. Computer code is entirely function-based.
  3. Calculus has massive applications to physics, chemistry, biology, economics and many other fields.
  • Categories:
  • Math exercises
  • Differential calculus exercises
  • Differential calculus: Taking derivatives
  • Integral calculus exercises
  • Integral calculus: Mission foundations
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