Derivadas Flashcards
What is the derivative of sin(u)?
The derivative of sin(u) is cos(u).
What is the derivative of cos(u)?
The derivative of cos(u) is -sin(u).
What is the derivative of tan(u)?
The derivative of tan(u) is sec²(u).
What is the derivative of cot(u)?
The derivative of cot(u) is -csc²(u).u’
What is the derivative of sec(u)?
The derivative of sec(u) is sec(u)tan(u).
What is the derivative of csc(u)?
The derivative of csc(u) is -csc(u)cot(u).
True or False: The derivative of sin(u) is negative.
False.
Fill in the blank: The derivative of _______ is -sin(u).
cos(u)
What is the general formula for the derivative of sin(u)?
The derivative of sin(u) is cos(u).
What is the relationship between the derivatives of tan(u) and sec(u)?
The derivative of tan(u) is sec²(u).u’, and the derivative of sec(u) is sec(u)tan(u).u’
What is the derivative of sec(u)tan(u)?
The derivative of sec(u)tan(u) involves both sec(u) and sec²(u).
Multiple Choice: Which of the following is the derivative of csc(u)? A) csc(u)cot(u) B) -csc(u)cot(u) C) sec(u)tan(u)
B) -csc(u)cot(u)
What happens to the derivative of cot(u) when you differentiate it?
It becomes -csc²(u).
True or False: The derivative of cos(u) is positive.
False.
Fill in the blank: The derivative of tan(u) is _______.
sec²(u).u’
What is the derivative of -sin(u)?
The derivative of -sin(u) is -cos(u).
How do the derivatives of sine and cosine relate to each other?
The derivative of sin(u) is cos(u), and the derivative of cos(u) is -sin(u).
What is the derivative of the function f(u) = csc(u)?
The derivative is -csc(u)cot(u).
Multiple Choice: Which derivative is equal to sec²(u)? A) sin(u) B) tan(u) C) cos(u)
B) tan(u)
What is the derivative of the function f(u) = sec(u)?
The derivative is sec(u)tan(u).
Fill in the blank: The derivative of _______ is sec(u)tan(u).
sec(u)
True or False: The derivative of csc(u) is positive.
False.
What is the formula for the derivative of cot(u)?
The derivative of cot(u) is -csc²(u).
What is the derivative of tan(u) with respect to u?
The derivative is sec²(u).
What is the pattern of derivatives for trigonometric functions?
The derivatives cycle through sine, cosine, tangent, and their reciprocals with alternating signs.
