Calculus, Maths

Question 1

Derivative of arcsinx

Answer 1

1/sqrt.(1-x^2)

Question 2

Derivative of arccosx

Answer 2

-1/sqrt.(1-x^2)

Question 3

Derivative of arctanx

Answer 3

1/(1+x^2)

Question 4

Derivative of arcsinx/a

Answer 4

1/sqrt.(a^2-x^2)

Question 5

Derivative of arctanx/a

Answer 5

a/(a^2+x^2)

Question 6

Derivative of tanx

Answer 6

sec^2x

Question 7

Derivative of cotx

Answer 7

-cosec^2x

Question 8

Derivative of secx

Answer 8

secxtanx

Question 9

Derivative of cosecx

Answer 9

-cosecxcotx

Question 10

When a function is even

Answer 10

f(-x) = f(x), symmetry around a point can double integral

Question 11

When a function is odd

Answer 11

f(-x) = -f(x), between symmetry point, area is 0