Memorize derivatives and antiderivatives

Question 1

Derivative of sin(x)

Answer 1

cos(x)

Question 2

Derivative of cos(x)

Answer 2

-sin(x)

Question 3

Derivative of tan(t)

Answer 3

sec^2(x)

Question 4

antiderivative of tangent

Answer 4

-log( cos(x) ) + c

Question 5

derivative of sec(x)

Answer 5

sec(x)tan(x)

Question 6

antiderivative of sec(x)

Answer 6

log( sec(x) + tan(x) ) + c

Question 7

derivative of arctan(x)

Answer 7

1/ (1+ x^2 )

Question 8

derivative of arcsin(x)

Answer 8

1/ sqrt(1- t^2)