Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let a curve y = f(x) pass through the point 
, and have slope 
for all positive real value of x. Then the value of f(e) is equal to ___
Text Solution
Verified by ExpertsThe correct answer is:
1
(1)
⇒ ℓnlyl = 2ℓn ∣ ℓnxl + C
putx = 2, y = (ℓn2) 2
⇒ c = 0 ⇒ y = (ℓnx) 2
⇒ f(e) = 1
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The population at time of a certain species follows the differential equation . If , then the t…
Let be a twice differentiable function defined on such that , and for all . If , for all th…
If a curve passes through the point and satisfics , then for what
value of ?
If a curve passes through the origin and the slope of the tangent to it at any point is , then th…
If the curve represented by the solution of the differential equation ,passes through the interse…
The rate of growth of bacteria in a culture is proportional to the number of bacteria present and t…