I f y = √ s i n x + √ s i n x + √ s i n x + . . . . . ∞ , t h e n d y d x i s e q u a l t o Options: A . &nbsp2y−1cos x B . &nbspcos x2y−1 C . &nbsp2x−1cos x D . &nbspcos x2x−1

Answer: Option B : B y = √ s i n x + y ⇒ y 2 − y = s i n x ∴ ( 2 y − 1 ) d y d x = c o s x

If y=√sin x+√sin x+√sin x+.....∞

Question

I f y = \sqrt{s i n x + \sqrt{s i n x + \sqrt{s i n x + . . . . . \infty}}}, t h e n \frac{d y}{d x} i s e q u a l t o

Options:

A . 2y−1cos x

B . cos x2y−1

C . 2x−1cos x

D . cos x2x−1

Answer: Option B
:
B

y = \sqrt{s i n x + y} \Rightarrow y^{2} - y = s i n x

∴ (2 y - 1) \frac{d y}{d x} = c o s x

Was this answer helpful ?

Next Question

Question 1. If y=(ax+bcx+d) , then 2dydx.d3ydx3 is equal to....

Question 2. If xy.yx=16,then dydx at (2,2) is....

Question 3. If f(x)=(logcotxtan x)(logtanxcot x)−1+tan−1(x√(4−x2)) then f'(0) is equ....If f(x)=(logcotxtan x)(logtanxcot x)−1+tan−1(x√(4−x2)) then f'(0) is equal to

Question 4. If y=ln(xa+bx)x,then x3d2ydx2 is equal to....

Question 5. If x2+y2=t−1t and x4+y4=t2+1t2,then x3ydydx equals....

Question 6. If f(x) = x + tan x and f is inverse of g, then g’(x) is equal to....

Question 7. If f(x) = sin−1(sin x)+cos−1(sin x) and ϕ(x)=f(f(f(x))),then ϕ′....If f(x) = sin−1(sin x)+cos−1(sin x) and ϕ(x)=f(f(f(x))),then ϕ′(x) is equal to

Question 8. If x=ey+ey+ey+ey+⋯∞....

Question 9. If y = tan−1√(1+sinx1−sinx),π2<x<π, then dydx equals ....

Question 10. If f(x) = |x|, then f’(x), where x ≠ 0 is equal to ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0