Differentiation (3)

Question 1

What is (dy/dx) cosec x?

Answer 1

-cosec x cot x

Question 2

-cosec x cot x

Answer 2

What is (dy/dx) cosec x?

Question 3

What is (dy/dx) sec x?

Answer 3

sec x tan x

Question 4

sec x tan x

Answer 4

What is (dy/dx) sec x?

Question 5

What is (dy/dx) cot x?

Answer 5

-cosec^2 x

Question 6

-cosec^2 x

Answer 6

What is (dy/dx) cot x?

Question 7

What is f’(x) arcsin x?

Answer 7

1/¬(1-x^2)

Question 8

1/¬(1-x^2)

Answer 8

What is f’(x) arcsin x?

Question 9

What is f’(x) arccos x?

Answer 9

• (1/¬(1-x^2))

Question 10

• (1/¬(1-x^2))

Answer 10

What is f’(x) arccos x?

Question 11

What is f’(x) arctan x?

Answer 11

1/(1+x^2)

Question 12

1/(1+x^2)

Answer 12

What is f’(x) arctan x?

Question 13

Differentiate f(x) = x^2 from first principles

Answer 13

f’(x) = lim ((x+h)^2 - x^2)/(h)

Question 14

f’(x) = lim ((x+h)^2 - x^2)/(h)

Answer 14

Differentiate f(x) = x^2 from first principles