Learning to take the 4th derivative of the sine function

The video tutorial explains the derivatives of a function Y in terms of cosine of X. It starts with the first derivative, Y to the first, which equals cosine of X. The second derivative, Y double prime, is negative cosine of X. The third derivative, Y triple prime, is also negative cosine of X. Finally, the fourth derivative, Y to the fourth, is positive. The tutorial highlights the pattern in the derivatives and concludes with a note on the differences in the middle derivatives.

What is the first derivative of Y with respect to X?

• Sine of X

• Negative Cosine of X

• Cosine of X

• Negative Sine of X

What is the second derivative of Y with respect to X?

• Negative Cosine of X

• Negative Sine of X

• Cosine of X

• Sine of X

What is the third derivative of Y with respect to X?

• Cosine of X

• Negative Cosine of X

• Negative Sine of X

• Sine of X

What is the fourth derivative of Y with respect to X?

• Sine of X

• Cosine of X

• Negative Cosine of X

• Negative Sine of X

Which derivative of Y is a positive sine of X?

• Fourth

• Third

• Second

• First