How to find the derivative of a function with sine

The video tutorial explains how to find the derivative of sine of X, which is cosine of X. It begins with an introduction to derivatives, followed by a detailed explanation of why the derivative of sine of X is cosine of X. Finally, it demonstrates the application of this derivative in finding Y times cosine of X.

What is the initial step in finding the derivative of Y prime?

• Identify the function to differentiate

• Apply the chain rule

• Find the second derivative

• Use integration by parts

What is the derivative of sine of X?

• Cosine of X

• Sine of X

• Secant of X

• Tangent of X

Which trigonometric function is used in the derivative of sine of X?

• Cosine

• Sine

• Cotangent

• Tangent

What is the final expression for the derivative of Y?

• Y times tangent of X

• Y times secant of X

• Y times cosine of X

• Y times sine of X

In the context of derivatives, what does taking out the constant refer to?

• Ignoring the constant

• Differentiating the constant separately

• Multiplying the constant by the derivative

• Adding the constant to the derivative