Math: Precalculus and Calculus Flashcards
1
Q
Name the three Pythagorean identities.
A
cos^2 θ + sin^2 θ = 1
1 + tan^2 θ = sec^2 θ
cot^2 θ + 1 = csc^2 θ
2
Q
What is the derivative of the square root of x?
A
1/2 x ^ -1/2
3
Q
What is the derivative of A to the x, A being a constant?
A
A to the x times the natural log of A.
4
Q
What is the derivative of x to the n? (Power rule)
A
nx to the n-1.
5
Q
What is the derivative of 1 over x?
A
-x to the -2.
6
Q
What is the derivative of cos(x)?
A
-sin(x)
7
Q
What is the derivative of sin(x)?
A
cos(x)
8
Q
What does the Product Rule state?
A
the derivative of fg = fg’ + f’g
9
Q
What does the Reciprocal Rule state?
A
the derivative of 1/f = -f’/f^2
