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

sin2A

Answer 3

2sinAcosA

Question 4

cos2A

Answer 4

cos^2(A) - sin^2(A)

Question 5

tan2A

Answer 5

(2tanA)/(1-tan^2(A))

Question 6

product rule (differentiation)

Answer 6

y = uv

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

Question 7

implicit differentiation
d/dx(f(y))

Answer 7

f’(y)(dy/dx)

Question 8

implicit differentiation
d/dx(xy)

Answer 8

x(dy/dx) + y

Question 9

concave

Answer 9

local maximum

Question 10

convex

Answer 10

local minimum