Learn how to find the derivative using the constant multiple rule

The video tutorial explains how to calculate the derivative of a function by factoring out constants. The instructor demonstrates the process using an example, showing how to handle constants in derivative calculations. The key takeaway is that constants can be factored out, allowing for a simpler derivative computation.

What is the first step in finding the derivative of a function with a constant factor?

• Add the constant to the function

• Ignore the constant

• Factor out the constant

• Multiply the constant by the function

In the example given, what is the constant that is factored out?

• 2/3

• 5/4

• 4/5

• 3/4

What is the derivative of the function T squared?

• 2T^2

• 2T

• T

• T^2

How is the final expression for the derivative written after factoring out the constant?

• 8T/5

• T/5

• 2T/5

• 4T/5

What is the key takeaway when dealing with constants in derivatives?

• Constants should be added to the derivative

• Constants should be subtracted from the derivative

• Constants should be ignored

• Constants can be factored out and multiplied back