Derivatives of Trigonometric Functions

Professor Dave explains how to take derivatives of trigonometric functions, starting with sine and cosine, and then using rules to find derivatives of tangent, cotangent, secant, and cosecant. He provides practice examples using product and quotient rules and briefly introduces inverse trigonometric derivatives.

What is the primary focus of this video tutorial?

• Derivatives of polynomial functions

• Integration of trigonometric functions

• Derivatives of trigonometric functions

• Graphing polynomial functions

Which trigonometric function's derivative is first explored in the video?

• Cosine

• Secant

• Tangent

• Sine

At which points does the derivative of sine x equal zero?

• At all points where x is 2pi

• At all points where x is pi

• At all points where x is zero

• At all maxima and minima

What is the derivative of sine x?

• Negative cosine x

• Negative sine x

• Sine x

• Cosine x

What is the derivative of sine x?

• Negative sine x

• Cosine x

• Sine x

• Negative cosine x

How does the derivative of cosine x differ from sine x?

• It is the negative of sine x

• It is the derivative of secant x

• It is the derivative of tangent x

• It is the same as sine x

What is the derivative of cosine x?

• Negative cosine x

• Cosine x

• Negative sine x

• Sine x

What is the derivative of cosine x?

• Sine x

• Negative cosine x

• Negative sine x

• Cosine x

Which rule is used to find the derivative of tangent x?

• Power rule

• Chain rule

• Quotient rule

• Product rule

What is the derivative of tangent x?

• Sine squared x

• Cosine squared x

• Secant squared x

• Cosecant squared x