មូលដ្ឋាន -- ជ២ : ម១ : ដេរីវេនៃអនុគមន៍ ច: រូបមន្តទូទៅ

ការណែនាំ

ចំពោះសំណួរបំពេញចន្លោះ(Fill-in-the-Blank)

ស្វ័យគុណ ត្រូវបានតាងដោយសញ្ញា(^)។ ឧទាហរណ៍៖ ពីរស្វ័យគុណប្រាំ: 2^5

ផលធៀប ធៀប ឬផលចែក ត្រូវបានតាងដោយសញ្ញា(/)។ ឧទាហរណ៍៖ ពីរធៀបប្រាំ ឬពីរចែកនឹងប្រាំ: 2/5

សូមអរគុណ <3 UwU

Don't dare u try to see the answers first!

Multiple Choice

$$y=\sqrt[]{x}\Rightarrow y\text{'}=?$$

• $$\frac{1}{\sqrt[]{x}}$$

• $$-\frac{1}{\sqrt[]{x}}$$

• $$\frac{1}{2\sqrt[]{x}}$$

• $$-\frac{1}{2\sqrt[]{x}}$$

Multiple Select

$$y=\tan x\Rightarrow y\text{'}=?$$

• $$\left(1-\tan^2x\right)$$

• $$\left(1+\tan^2x\right)$$

• $$\frac{1}{\cos^2x}$$

• $$-\frac{1}{\cos^2x}$$

Multiple Select

$$y=\cot x\Rightarrow y\text{'}=?$$

• $$-\left(1+\cot^2x\right)$$

• $$-\left(1+\cos^2x\right)$$

• $$-\frac{1}{\cos^2x}$$

• $$-\frac{1}{\sin^2x}$$

Multiple Choice

$$y=\sqrt{u}\Rightarrow y\text{'}=?$$

• $$\frac{u\text{'}}{\sqrt{u}}$$

• $$-\frac{u\text{'}}{\sqrt{u}}$$

• $$\frac{u\text{'}}{2\sqrt{u}}$$

• $$-\frac{u\text{'}}{2\sqrt{u}}$$

Multiple Select

$$y=\tan u\Rightarrow y\text{'}=?$$

• $$\left(1-\tan^2u\right)$$

• $$u\text{'}\left(1+\tan^2u\right)$$

• $$\frac{u\text{'}}{\cos^2u}$$

• $$-\frac{1}{\cos^2u}$$

Multiple Select

$$y=\cot u\Rightarrow y\text{'}=?$$

• $$-u\text{'}\left(1+\cot^2x\right)$$

• $$-\left(1+\cos^2x\right)$$

• $$-\frac{u\text{'}}{\sin^2x}$$

• $$-\frac{1}{\cos^2x}$$