Derivatives of Trigonometric Functions

secxtanx

$$\sec^2x$$  

$$\tan^2x$$  

secx

$$e^{x^2}$$  

2x

$$2e^{x^2}$$  

$$2xe^{x^2}$$  

sin⁡ x + tan⁡ x sec⁡ x

cos⁡ x + tan⁡ x sec⁡ x

sin⁡ x + tan⁡ x

sin⁡ x + tan⁡ x sec²⁡x

0

2 cos⁡x

$$2e^x.\sin⁡x$$  

$$2e^x.\cos⁡x$$  

f '(x) = g '(u)

f '(x) = g '(u) . u '(x)

f'(x) = u '(x)

None of the above

3x² cos x² cos⁡ x³ + 2x sin⁡ x³ sin x²

3x² cos⁡ x² cos⁡ x³ – 2x sin⁡ x³ sin x²

2x cos x² cos⁡ x³ – 2x sin⁡ x³ sin x²

2x cos x² cos⁡ x³ + 3x² sin⁡ x³ sin x²

0

1

-1

2

$$\cot^2x$$  

cosec x cot x

$$-\cot^2x$$  

- cosecx cotx

$$\frac{1}{\sqrt[]{x^2-1}}$$  

$$\frac{1}{\sqrt[]{1-\ x^2}}$$  

$$-\frac{1}{\sqrt[]{x^2-1}}$$  

$$-\frac{1}{\sqrt[]{1-\ x^2}}$$  

5

6

7

8