The maximum value of function y sinx+cosx
SpletExplanation for correct option: Let, y = e 2 + 3 cos x + sin x. e x is an increasing function,so y will attain maximum value when 2 + 3 cos x + sin x will be maximum. We know, - a 2 + b 2 ≤ a sin x + b cos x ≤ a 2 + b 2. So, maximum value of 2 + 3 cos x + sin x is 2 + 3 2 + 1 2 = 4. Hence, maximum value of y is e 4. Splet07. maj 2024 · selected May 8, 2024 by Vikash Kumar Best answer Let f (x, y) = sinx + siny + sin (x + y) We have fx = cosx + cos (x + y) y = cosy + cos (x + y) Now fx = 0 and fy = 0 implies cos (x + y) = – cosx and cos (x + y) = – cosy i.e., – cosx = – cosy or cosx = cosy or x = y Then, cos2x = – cosx = cos (π – x) ← Prev Question Next Question →
The maximum value of function y sinx+cosx
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http://edustud.nic.in/edu/practicepaper_2024/12/12math_2024.pdf Splet01. sep. 2016 · The maximum is obtained when tan x = 2, with x in Q1. And this is 2sin x + cos x , with tan x = 2 = 2( 2 √5) + 1 √5 = 5 √5 = √5. Of course, the minimum is −√5. Alternative method sans differentiation: f = √5(( 2 √5)sinx + ( 1 √5)cosx) = √5sin(x + α), where sinα = 2 √5 and cosα = 1 √5 M axf = √5 max sin(x +α) = √5(1) ' Answer link
SpletQ: find the area bounded by the two curves y = cosx and y = Sin2x A: We need to find area … Splet30. okt. 2016 · To determine whether this is a maximum, perform the second derivative test, using one of the values: f ''(x) = − cos(x) − sin(x) Evaluate at π 4 f ''( π 4) = −cos( π 4) −sin( π 4) = − √2 The value is a negative, therefore, we have found a maximum. Answer link
Spletx ≈ {0,1.381,2.931,4.831} Explanation: Begin by finding the first and second derivatives f (x) = 3sin(2x)− 2xcos(x) ... Write sinx+sin3x as a product. Hence,find all angles x in the interval [0,2π] that satisfy sinx+ sin3x −cosx = 0 ... x ∈ {12π, 125π, 2π, 23π} Explanation: First you should be ... Focusing on R+ by parity ( f is odd). SpletTo find the local maximum and minimum values of the function, set the derivative equal to and solve. Evaluate the second derivative at If the second derivative is positive, then this is a minimum. If it is negative, then this is a maximum. Evaluate the second de Continue Reading 122 2 More answers below Nayef Al Mahbub
SpletAOD (TN) - Free download as PDF File (.pdf), Text File (.txt) or read online for free. APPLICATION OF DERIVATIVE Syllabus in IIT : Tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, applications of Rolle's theorem and Lagrange's Mean value theorem. Tangent-Normal-Rate Measure & …
hungarian king in 1450Splet11 sinx.cosx ाअ चि6 त्तममानहै: The maximum value of sinx.cosx is: (a) 1 4 (b ) 1 2 ... Let f:X→Y be a function . Define a relation R on X given by R={(a,b): f(a)=f(b)}. Show that R is an equivalence relation on X. 3 27 casa tulsa jobsSpletAnswer (1 of 4): y=sinx+cosx or . y= 1.sinx+1.cosx Multiplying in Nr and Dr by √(1^1+1^2) … hungarian keyboard symbolsSpletAnswer (1 of 36): \text{Let}\,\,f(x) = \sin x + \cos x \implies f’(x) = \cos x - \sin x For … hungarian khazarsSplet11 sinx.cosx ाअ चि6 त्तममानहै: The maximum value of sinx.cosx is: (a) 1 4 (b ) 1 2 ... Let … casa van lopikSplet16. mar. 2024 · Transcript. Ex 6.5, 9 What is the maximum value of the function sin𝑥+cos𝑥? … hungarian kitchen cabinetsSplet02. apr. 2016 · calculus - Maximum value of $f (x) = \cos x \left ( \sin x + \sqrt {\sin^2x +\sin^2a}\right)$ - Mathematics Stack Exchange Maximum value of f(x) = cosx(sinx + √sin 2x + sin 2a) Ask Question Asked 7 years ago Modified 7 years ago Viewed 4k times 8 Can we find maximum value of f(x) = cosx(sinx + √sin2x + sin2a) where ' a ' is a given constant. hungarian kings