Test :(

Question 1

identity using sec^2(x)

Answer 1

1 + tan^2(x) = sec^2(x)

Question 2

identity using cosec^2(x)

Answer 2

1 + cot^2(x) = cosec^2(x)

Question 3

product rule (differentiation)

Answer 3

y = uv

dy/dx = u(dv/dx) + v(du/dx)

Question 4

implicit differentiation
d/dx(f(y))

Answer 4

f’(y)(dy/dx)

Question 5

implicit differentiation
d/dx(xy)

Answer 5

x(dy/dx) + y

Question 6

concave

Answer 6

local maximum

Question 7

convex

Answer 7

local minimum