Differentiating Trig Functions

Question 1

What is dy/dx of sin x?

Answer 1

cos x

Question 2

What is dy/dx of cos x?

Answer 2

-sin x

Question 3

What is dy/dx of 2sinx?

Answer 3

2 cos x

Question 4

What is dy/dx of sin2x?

Answer 4

2cos2x

Question 5

What is f’(x) of asinbx?

Answer 5

Abcosbx

Question 6

What is f’(x) of acosbx?

Answer 6

-absinbx

Question 7

What is dy/dx of atan(bx)?

Answer 7

Absec^2bx

Question 8

What is dy/dx of tan(x)?

Answer 8

Sec^2

Question 9

What is dy/dx of 3tan(5x)?

Answer 9

15sec^2(5x)

Question 10

What is dy/dx of ae^bx?

Answer 10

Abe^bx

Question 11

What is dy/dx of a^kx?

Answer 11

Klna(a^kx)

Question 12

What is dy/dx of secx?

Answer 12

Sec(x) tan (x)

Question 13

What is dy/dx of cosec (x)?

Answer 13

-cosec (x) cot (x)

Question 14

What is dy/dx of cot (x)?

Answer 14

-cosec^2 (x)

Question 15

What is dy/dx of ln (x)?

Answer 15

1/x

Question 16

What is dy/dx of e^x?

Answer 16

E^x

Question 17

What is dy/dx of 1/ square root of (x)?

Answer 17

-0.5 (x) ^ -3/2

Question 18

What is dy/dx of tan (x^2 + e^x)?

Answer 18

(2x + e^x) sec^2 (x^2 + e^x)

Question 19

What is dy/dx of e^sin(x)?

Answer 19

Cos (x) e^sin (x)

Question 20

What is dy/dx of x^3 e^x?

Answer 20

X^2 e^x (3+x)

Question 21

What is dy/dx of (x^2 + 1) / (x^2 - 1)?

Answer 21

• (4x) / (x^2 - 1 )^2

Question 22

What is dy/dx of e^e^x ?

Answer 22

E^x e^e^x

Question 23

What is dy/dx of (1) / 3(x^2 - 1)?

Answer 23

• (2x) / 3(x^2 - 1)^2