Differentiate $\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { 3 \mathrm { x } } \tan \left( \mathrm { x } ^ { 2 } \right)$

question 95

Multiple Choice

Differentiate.
- $\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { 3 \mathrm { x } } \tan \left( \mathrm { x } ^ { 2 } \right)$

• A) 3 \(e ^ { 3 x }\) tan \(x ^ { 2 }\) + 2x \(e ^ { 3 x }\) \(\sec ^ { 2 }\) ( \(x ^ { 2 }\) )
• B) 6x \(e ^ { x }\) \(\sec ^ { 2 }\) \(x ^ { 2 }\)
• C) 3 \(e ^ { x }\) \(\sec ^ { 2 }\) \(x ^ { 2 }\)
• D) 3 \(e ^ { x }\) tan \(x ^ { 2 }\) + \(e ^ { 3 x }\) \(\sec ^ { 2 }\) \(x ^ { 2 }\)
• E) none of these

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