Q. 18

# Differentiate the following with respect to x:

Given,

f(x) =

Using cos (A + B) = cos A cos B – sin A sin B, we get –

f(x) =

f(x) = cos 2 cot x – sin 2

we need to find f’(x), so differentiating both sides with respect to x –

)

Using algebra of derivatives –

f’(x) =

As cos a and sin a are constants, so using algebra of derivatives we have –

f’(x) =

Use the formula:

f’(x) = – cosec2 x cos 2 – sin 2 (0)

f’(x) = – cosec2 x cos 2 – 0

f’(x) = – cosec2 x cos 2

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