AP EAMCET · Maths · Differentiation
The derivative of \(e^{3 x} \sin 4 x\) with respect to \(x\), is
- A \(5 e^{3 x} \sin \left(4 x+\operatorname{Tan}^{-1} \frac{4}{3}\right)\)
- B \(5 e^{3 x} \sin \left(4 x-\operatorname{Tan}^{-1} \frac{4}{3}\right)\)
- C \(5 e^{3 x} \sin \left(4 x+\operatorname{Tan}^{-1} \frac{3}{4}\right)\)
- D \(5 e^{3 x} \sin \left(4 x-\operatorname{Tan}^{-1} \frac{3}{4}\right)\)
Answer & Solution
Correct Answer
(A) \(5 e^{3 x} \sin \left(4 x+\operatorname{Tan}^{-1} \frac{4}{3}\right)\)
Step-by-step Solution
Detailed explanation
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