Learn to find the derivative of a function with cosine

The video tutorial explains the process of finding the derivative of a cosine function. It begins with an introduction to the example and the purpose of the exercise. The instructor then demonstrates how to extract a constant from the expression, specifically 1/2. Following this, the derivative of the cosine function is discussed, highlighting that it results in a negative sine function. The final derivative expression is formulated as negative 1/2 times the sine of X. The tutorial concludes with a summary of the steps taken to derive the expression.

What is the purpose of the example discussed by the teacher?

• To explain the concept of integration

• To demonstrate the use of constants in derivatives

• To solve a complex algebraic equation

• To introduce the sine function

What is the derivative of the cosine function?

• Negative sine function

• Positive sine function

• Positive cosine function

• Negative cosine function

How does the teacher describe the derivative of cosine in terms of X?

• As a variable Y

• As a constant value

• As a negative X

• As a positive X

What is the final expression for the derivative as concluded by the teacher?

• Negative 1/2 times the sine of X

• 1/2 times the sine of X

• Negative 1/2 times the cosine of X

• 1/2 times the cosine of X

What does the teacher confirm about the derivative process at the end?

• It is correct

• It needs revision

• It is incomplete

• It is incorrect