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Differentiate (log⁡2x)sin⁡3x with respect to x.
  • a)
    (3 cos⁡3x log⁡(log⁡2x)+(sin3x/xlog2x)
  • b)
    log2xsin3x(3cos3xlog(log2x)+(sin3x/xlog2x)
  • c)
    –(3cos3xlog(log2x)+(sin3x/xlog2x)
  • d)
Correct answer is option 'B'. Can you explain this answer?
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Differentiate (log2x)sin3x with respect to x.a)(3 cos3x log(log2x)+(si...
Consider y=(log2x)sin3x
Applying log on both sides, we get
log⁡y=log(log2x)sin3x
log⁡y=sin⁡3x log⁡(log⁡2x)
Differentiating with respect to x, we get

By using chain rule, we get

dy/dx =y(3 cos⁡3x log⁡(log⁡2x)+ 
∴ dy/dx=log⁡2xsin⁡3x(3cos3xlog(log2x)+(sin3x/xlog2x))
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Differentiate (log2x)sin3x with respect to x.a)(3 cos3x log(log2x)+(sin3x/xlog2x)b)log2xsin3x(3cos3xlog(log2x)+(sin3x/xlog2x)c)–(3cos3xlog(log2x)+(sin3x/xlog2x)d)Correct answer is option 'B'. Can you explain this answer?
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Differentiate (log2x)sin3x with respect to x.a)(3 cos3x log(log2x)+(sin3x/xlog2x)b)log2xsin3x(3cos3xlog(log2x)+(sin3x/xlog2x)c)–(3cos3xlog(log2x)+(sin3x/xlog2x)d)Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Differentiate (log2x)sin3x with respect to x.a)(3 cos3x log(log2x)+(sin3x/xlog2x)b)log2xsin3x(3cos3xlog(log2x)+(sin3x/xlog2x)c)–(3cos3xlog(log2x)+(sin3x/xlog2x)d)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Differentiate (log2x)sin3x with respect to x.a)(3 cos3x log(log2x)+(sin3x/xlog2x)b)log2xsin3x(3cos3xlog(log2x)+(sin3x/xlog2x)c)–(3cos3xlog(log2x)+(sin3x/xlog2x)d)Correct answer is option 'B'. Can you explain this answer?.
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