Q. 18

Differentiate the following with respect to x:


Answer :

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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