Determine for .

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Determine f′(x)f'(x) for f(x)=sec⁡ ⁣(2x−π3)f(x)=\sec\!\left(2x-\tfrac{\pi}{3}\right). (a) 2sec⁡2 ⁣(2x−π3)2\sec^{2}\!\left(2x-\tfrac{\pi}{3}\right) (b) sec⁡ ⁣(2x−π3)tan⁡ ⁣(2x−π3)\sec\!\left(2x-\tfrac{\pi}{3}\right)\tan\!\left(2x-\tfrac{\pi}{3}\right) (c) 2sec⁡ ⁣(2x−π3)tan⁡ ⁣(2x−π3)2\sec\!\left(2x-\tfrac{\pi}{3}\right)\tan\!\left(2x-\tfrac{\pi}{3}\right) (d) 2sec⁡ ⁣(2x−π3)cot⁡ ⁣(2x−π3)2\sec\!\left(2x-\tfrac{\pi}{3}\right)\cot\!\left(2x-\tfrac{\pi}{3}\right)

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