Differentiate the following function with respect to x: ^2x - Vidyadip

Question

Differentiate the following function with respect to x:

$\sin^2\text{x}$

✓

Answer

$\frac{\text{d}}{\text{dx}}(\sin^2\text{x})$

$=2\sin\text{x}\frac{\text{d}}{\text{dx}}(\sin\text{x})$ (Using the chain rule)

$=2\sin\text{x}\cos\text{x}$

$=\sin\text{2x}$

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