Podcast
Questions and Answers
What is the derivative of cosine x?
What is the derivative of cosine x?
- negative sine x (correct)
- cotangent x
- sine x
- tangent x
What is the derivative of tangent x?
What is the derivative of tangent x?
- negative cosecant squared x
- cosecant squared x
- cotangent x
- secant squared x (correct)
What is the derivative of cosecant x?
What is the derivative of cosecant x?
- negative cosecant cotangent (correct)
- cosecant cotangent
- negative secant tangent
- secant tangent
How can functions with trigonometric terms be differentiated?
How can functions with trigonometric terms be differentiated?
What do the derivatives of the six inverse trigonometric functions involve?
What do the derivatives of the six inverse trigonometric functions involve?
Why is it important to memorize the derivatives of the six trigonometric functions?
Why is it important to memorize the derivatives of the six trigonometric functions?
How can derivatives of trigonometric functions be used in integrals?
How can derivatives of trigonometric functions be used in integrals?
What can derivatives become more complex than?
What can derivatives become more complex than?
What is the derivative of cotangent x?
What is the derivative of cotangent x?
How can comprehension of the topic be checked?
How can comprehension of the topic be checked?
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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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