Podcast
Questions and Answers
True or false: The derivative of sine x is negative cosine x.
True or false: The derivative of sine x is negative cosine x.
False (B)
True or false: The derivative of tangent x is cotangent x.
True or false: The derivative of tangent x is cotangent x.
False (B)
True or false: The product rule and quotient rule cannot be used to differentiate functions with trigonometric terms.
True or false: The product rule and quotient rule cannot be used to differentiate functions with trigonometric terms.
False (B)
True or false: The derivatives of the six inverse trigonometric functions involve expressions with x cubed, often under a radical.
True or false: The derivatives of the six inverse trigonometric functions involve expressions with x cubed, often under a radical.
True or false: Memorizing the derivatives of the six trigonometric functions is not important for differentiation.
True or false: Memorizing the derivatives of the six trigonometric functions is not important for differentiation.
True or false: The derivatives of trigonometric functions cannot be used in integrals.
True or false: The derivatives of trigonometric functions cannot be used in integrals.
True or false: Derivatives can only become more complex with trigonometric functions.
True or false: Derivatives can only become more complex with trigonometric functions.
True or false: Understanding of the topic can only be checked through memorization.
True or false: Understanding of the topic can only be checked through memorization.
True or false: The derivative of secant x is secant tangent squared x.
True or false: The derivative of secant x is secant tangent squared x.
True or false: The derivative of cosecant x is cosecant cotangent.
True or false: The derivative of cosecant x is cosecant cotangent.
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Study Notes
- Derivatives of trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) are important to know.
- The derivative of sine x is cosine x, and the derivative of cosine x is negative sine x.
- The derivative of tangent x is secant squared x, and the derivative of cotangent x is negative cosecant squared x.
- The derivative of cosecant x is negative cosecant cotangent, and the derivative of secant x is secant tangent.
- The product rule and quotient rule can be used to differentiate functions with trigonometric terms.
- The derivatives of the six inverse trigonometric functions involve expressions with x squared, often under a radical.
- Memorizing the derivatives of the six trigonometric functions is important for differentiation.
- The derivatives of trigonometric functions can be used in integrals.
- Derivatives can become more complex than just trigonometric functions.
- Understanding of the topic can be checked through comprehension.
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