Let . Which expression equals…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let h(x)=(tan⁡(2x))3h(x)=\bigl(\tan(2x)\bigr)^{3}. Which expression equals h′(x)h'(x)? (a) 6(tan⁡(2x))3sec⁡2(2x)6\bigl(\tan(2x)\bigr)^{3}\sec^{2}(2x) (b) 3(tan⁡(2x))2sec⁡2(2x)3\bigl(\tan(2x)\bigr)^{2}\sec^{2}(2x) (c) 6(tan⁡(2x))2sec⁡2(2x)6\bigl(\tan(2x)\bigr)^{2}\sec^{2}(2x) (d) 6(tan⁡(2x))2sec⁡(2x)tan⁡(2x)6\bigl(\tan(2x)\bigr)^{2}\sec(2x)\tan(2x)

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