Derivatives of Trigonometric Functions

This video tutorial explains how to find the derivatives of common trigonometric functions, including sine, cosine, and tangent, with examples such as sine 2x, tangent 3x, and cosine 4x. It also covers more complex problems like the derivatives of sine squared 2x and sine of tangent x squared, providing step-by-step solutions and explanations.

What is the derivative of sine of 2x?

• sine 2x

• cosine 2x

• 2 cosine 2x

• 2 sine 2x

What is the derivative of tangent 3x?

• 3 cosine 3x

• 3 secant squared 3x

• secant squared 3x

• 3 tangent 3x

What is the derivative of cosine 4x?

• -4 cosine 4x

• 4 cosine 4x

• -4 sine 4x

• 4 sine 4x

How do you start finding the derivative of sine squared of 2x?

• Use the product rule

• Rewrite as sine of 2x squared

• Use the chain rule

• Differentiate directly

What is the derivative of sine squared of 2x?

• 2 cosine 2x

• 4 sine 2x cosine 2x

• 2 sine 2x cosine 2x

• 4 cosine 2x

What is the first step in finding the derivative of sine squared of x?

• Use the product rule

• Rewrite as sine of x squared

• Use the chain rule

• Differentiate directly

What is the derivative of sine squared of x?

• 2 sine x cosine x

• sine x cosine x

• 2 cosine x

• cosine x

What is the derivative of sine of tangent x squared?

• cosine of tangent x squared

• 2x cosine of tangent x squared times secant squared x squared

• secant squared x squared

• 2x sine of tangent x squared

What is the derivative of tangent in the expression sine of tangent x squared?

• cosine

• secant squared

• tangent

• sine

What is the derivative of x squared in the expression sine of tangent x squared?

• x

• 2x

• x squared

• 2