Ifsin x + y log x + y then dy dx is
WebIf sinx+y=logx+y, then dy/dx is equal to Byju's Answer Standard XII Mathematics Algebra of Derivatives If sinx+y=log... Question If sin ( x + y) = log ( x + y), then d y d x is equal to A 2 B - 2 C 1 D - 1 Solution The correct option is D - 1 Explanation for the correct option: Web10 jul. 2016 · 1 Answer Eddie Jul 10, 2016 y = x −1 + C ex Explanation: dy dx = x − y not separable, not exact, so set it up for an integrating factor dy dx +y = x the IF is e∫dx = ex so ex dy dx +exy = xex or d dx (exy) = xex so exy = ∫xex dx for the integration, we use IBP: ∫uv' = uv − ∫u'v u = x,u' = 1 v' = ex,v = ex ⇒ xex −∫ex dx = xex − ex +C
Ifsin x + y log x + y then dy dx is
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Web28 jun. 2024 · If ` y= (log x) ^(logx) ,then (dy)/(dx)=` WebIf sin x is an integrating factor of the differential equation d y d x + P y = Q, then write the value of P. Advertisement Remove all ads Solution It is given that is the integrating factor of the differential equation It is given that sin x is the integrating factor of the differential equation d y d x + P y = Q. ∴ e ∫ P d x = sin x
Web9 aug. 2024 · Find y d d y d x where y = log sin(log x) y = log sin ( log x) asked Apr 14, 2024 in Differentiation by Garimak (73.0k points) class-12. differentiation. 0 votes. 1 answer. If y = log{( 1 + x 1 − x)1 /4} − 1 2 tan−1 x, then dy dx = y = log { ( 1 + x 1 - x) 1 / 4 } - 1 … WebCalculus Find dy/dx y = natural log of x^2 y = ln (x2) y = ln ( x 2) Differentiate both sides of the equation. d dx (y) = d dx (ln(x2)) d d x ( y) = d d x ( ln ( x 2)) The derivative of y y with respect to x x is y' y ′. y' y ′ Differentiate the right side of the equation. Tap for more steps... 2 …
Web24 mei 2024 · If `x(dy)/(dx)=y(log y -logx+1),` then the solution of the equation is WebWe will prove that d/dx (logₐ x) = 1 / (x ln a) using implicit differentiation. Proof: Assume that y = logₐ x. Converting this into the exponential form would give a y = x. By taking the derivative on both sides with respect to x, we get d/dx (a y) = d/dx (x) By using the chain rule, (a y ln a) dy/dx = 1 dy/dx = 1/ (a y ln a) But we have a y = x.
WebGiven, xx = yyTaking log on both sides, we getx log x = y log yDifferentiating w.r.t. y, we gety.y1.dxdy +logydxdy = xx1 + logx⇒ dxdy (1+logy)= 1+ logx⇒ dxdy = 1+logy1+logx.
WebSolution Let y = (log x) x + x log x Also, let u = (log x) x and v = x log x ∴ y = u + v dy dx du dx dv dx ⇒ dy dx = du dx + dv dx ........ (1) u = (logx) x ⇒ log u = log [ (log x) x] ⇒ log u = x log (log x) Differentiating both sides with respect to x, we obtain helena cathedral massWeb1 feb. 2024 · Best answer. Given, xy = yx. Taking logarithm on both sides, we get. y log x = x log y. Differentiating both sides, w.r.t. x. y.(1/x) + log x(dy/dx) = x.(1/y).(dy/dx) + log y. 1. (y/x) + (log x).(dy/dx) = (x/y).(dy/dx) + log y. (dy/dx)[log x - (x/y)] = log y - (y/x) … helena chancelerWebSin(x+y)=log(x+y).....dxd [sin(x+y)]=dxd [log(x+y).....cos(x+y)dxd (x+y)=x+y1 dxd (x+y).....cos(x+y)(1+dxdy )=x+y1 (1+dxdy ).....cos(x+y)(1+dxdy )−x+y1 (1+dxdy )=0 ... helenachassany2023 gmail.comWeb18 jun. 2024 · If sin y + x = log x, then dy/dx is A) 1/ (x cos y) B) 1/ (x sin y) C) (1- x)/ (x cos y) D) (1+ x)/ (x sin y) - Brainly.in. AniketSingh2910. 18.06.2024. Math. Secondary School. answered • expert verified. helena cathedralWeb1+log y1+log x D 1+log(yx) Solution: Given, xx = yy Taking log on both sides, we get x log x = y log y Differentiating w.r.t. y, we get y.y1.dxdy +logy dxdy = xx1 + logx ⇒ dxdy (1+logy) = 1+ logx ⇒ dxdy = 1+logy1+logx helena cathedral helena mtWeb24 mei 2024 · Find #dy/dx#of #y=x^logx +(log x)^x#? Calculus. 1 Answer Epsilon May 24, 2024 Explanation: please see the image file to explanation . Answer link. Related questions. How do I determine the molecular shape of a molecule? What is … helena century 21WebThe differential equation of the form is given as. d y d x = y x. Separating the variables, the given differential equation can be written as. 1 y d y = 1 x d x – – – ( i) With the separating the variable technique we must keep the terms d y and d x in the numerators with their respective functions. Now integrating both sides of the ... helena central high school