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If the derivative of y= 8√sin x is dy/ds =kcosx/√sin x what is the value of numerical constant k?
Most Upvoted Answer
If the derivative of y= 8√sin x is dy/ds =kcosx/√sin x what is the val...
Given:
y= 8√sin x
dy/ds = kcosx/√sin x
To Find:
The value of numerical constant k
Solution:
We know that,
dy/dx = 4cos x/√sin x
Let's assume u = sin x
Therefore, du/dx = cos x
Now we can use the chain rule of differentiation,
dy/dx = dy/du * du/dx
Substituting the values,
4cos x/√sin x = dy/du * cos x
Simplifying,
dy/du = 4/√u
Substituting the value of u = sin x,
dy/ds = 4/√sin x
Comparing the given derivative and the above calculated derivative,
k = 4
Answer:
The value of the numerical constant k is 4.
y= 8√sin x
dy/ds = kcosx/√sin x
To Find:
The value of numerical constant k
Solution:
We know that,
dy/dx = 4cos x/√sin x
Let's assume u = sin x
Therefore, du/dx = cos x
Now we can use the chain rule of differentiation,
dy/dx = dy/du * du/dx
Substituting the values,
4cos x/√sin x = dy/du * cos x
Simplifying,
dy/du = 4/√u
Substituting the value of u = sin x,
dy/ds = 4/√sin x
Comparing the given derivative and the above calculated derivative,
k = 4
Answer:
The value of the numerical constant k is 4.
Community Answer
If the derivative of y= 8√sin x is dy/ds =kcosx/√sin x what is the val...
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If the derivative of y= 8√sin x is dy/ds =kcosx/√sin x what is the value of numerical constant k?
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If the derivative of y= 8√sin x is dy/ds =kcosx/√sin x what is the value of numerical constant k? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If the derivative of y= 8√sin x is dy/ds =kcosx/√sin x what is the value of numerical constant k? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the derivative of y= 8√sin x is dy/ds =kcosx/√sin x what is the value of numerical constant k?.
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