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The differential coefficient of (log x)tanx is:
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer i...
y = (lnx)tanx
ln(y) = tanx(ln(lnx))
d(lny)/dx = d(tanx(ln(lnx)))/dx
Using product rule -
(1/y)dy/dx = (secx)2(ln(lnx)) + (1÷xlnx)tanx
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×y
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×[(lnx)tanx]
ln(y) = tanx(ln(lnx))
d(lny)/dx = d(tanx(ln(lnx)))/dx
Using product rule -
(1/y)dy/dx = (secx)2(ln(lnx)) + (1÷xlnx)tanx
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×y
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×[(lnx)tanx]
Most Upvoted Answer
The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer i...
y = (lnx)tanx
ln(y) = tanx(ln(lnx))
d(lny)/dx = d(tanx(ln(lnx)))/dx
Using product rule -
(1/y)dy/dx = (secx)2(ln(lnx)) + (1÷xlnx)tanx
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×y
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×[(lnx)tanx]
ln(y) = tanx(ln(lnx))
d(lny)/dx = d(tanx(ln(lnx)))/dx
Using product rule -
(1/y)dy/dx = (secx)2(ln(lnx)) + (1÷xlnx)tanx
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×y
dy/dx = [(secx)2(ln(lnx)) + (1÷xlnx)tanx ]×[(lnx)tanx]
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Community Answer
The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer i...
D
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The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The differential coefficient of (log x)tanxis:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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