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The dervative id sec-1 x is
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. Can y...
y = sec−1 x
by rewriting in terms of secant,
⇒ secy = x
by differentiating with respect to x,
⇒ secy tany y'= 1 by dividing by secy tany,
⇒ y'= 1/secy tany
since secy = x and tanx = √sec2y − 1 = √x2−1
⇒ y'= 1/x√x2−1
Hence, d/dx(sec−1x) = 1/x√x2−1
by rewriting in terms of secant,
⇒ secy = x
by differentiating with respect to x,
⇒ secy tany y'= 1 by dividing by secy tany,
⇒ y'= 1/secy tany
since secy = x and tanx = √sec2y − 1 = √x2−1
⇒ y'= 1/x√x2−1
Hence, d/dx(sec−1x) = 1/x√x2−1
Most Upvoted Answer
The dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. Can y...
y = sec−1 x
by rewriting in terms of secant,
⇒ secy = x
by differentiating with respect to x,
⇒ secy tany y'= 1 by dividing by secy tany,
⇒ y'= 1/secy tany
since secy = x and tanx = √sec2y − 1 = √x2−1
⇒ y'= 1/x√x2−1
Hence, d/dx(sec−1x) = 1/x√x2−1
by rewriting in terms of secant,
⇒ secy = x
by differentiating with respect to x,
⇒ secy tany y'= 1 by dividing by secy tany,
⇒ y'= 1/secy tany
since secy = x and tanx = √sec2y − 1 = √x2−1
⇒ y'= 1/x√x2−1
Hence, d/dx(sec−1x) = 1/x√x2−1
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Community Answer
The dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. Can y...
Let y= arcsec(x)
We have to find dy/dx
=> sec(y) = x
Differentiating both sides w.r.t x
=> sec(y)tan(y) dy/dx = 1
=> dy/dx = cos²(y)/sin(y)
Now cos(y)= 1/x
and sin(y)= √(1-1/x²)
Solve it u will get answer as A
We have to find dy/dx
=> sec(y) = x
Differentiating both sides w.r.t x
=> sec(y)tan(y) dy/dx = 1
=> dy/dx = cos²(y)/sin(y)
Now cos(y)= 1/x
and sin(y)= √(1-1/x²)
Solve it u will get answer as A
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The dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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The dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. 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 dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. 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 dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
The dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. 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 dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. 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 dervative id sec-1 x isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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