Differentiate the following function with respect to (x): 2 +3 -4 - Vidyadip

Question

Differentiate the following function with respect to $(\text{x})$:

$2\sec\text{x}+3\cot\text{x}-4\tan\text{x}$

✓

Answer

We have,

$\frac{\text{d}}{\text{dx}}(2\sec\text{x}+3\cot\text{x}-4\tan\text{x})$

$=2\frac{\text{d}}{\text{dx}}(\sec\text{x})+3\frac{\text{d}}{\text{dx}}(\cot\text{x})-4\frac{\text{d}}{\text{dx}}(\tan\text{x})$

$=2\sec\text{x}\tan\text{x}-3\text{cosec}^2\text{x}-4\sec^2\text{x}$

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