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[DOCX File]jnvbetul.weebly.com
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Q3If y= x + 1 x ,show that 2x dy dx +y=2 x . Q.4 If . tan -1 1+ x 2 -x w.r.t. x .Q.5 If . y. x 2 +1 =log x 2 +1 -x ,show that x 2 +1 dy dx +xy+1=0 .Q.6 If x=asin2t (1+cos2t)and y=bcos2t(1-cos2t) ,show that (dy/dx) at x= π /4 =b/a .Q.7If . y= x-3 x 2 3 x 2 +4x+5 ,find dy/dx .Q.8If . y= sin -1 x 2 1- x 2 +x 1- x 4 ,then prove that dy dx = 2x 1 ...
dy dx x y x y 1

[DOC File]Econ 604
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dY/dX = -Y/X so the MRS = Y/X (the opposite of dY/dX) . Consider a logarithmic transformation of this utility function. U’ = logU. Where log is the logarithmic function to base 10. Show that for this transformation the U’=1 indifference curve has the same properties as the U=10 curve calculated in parts (a) and (b). ... U = log X + log Y ...
dy dx log x 1

[DOCX File]A
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log x 3 y 4 z . Condense the expression to the log of a single quantity. log x-2 log y+3 log z . Use the properties of exponents to simplify the following. ... Find dy dx . b) Find the slope of the tangent line at the point (3,3) c) Find the equation of the tangent line at the point (3,3)
dy dx y 3 x 3

[DOC File]Differential Equations
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= y. given x = 4, y = 1 ∫ dy = ∫dx. y. log y = x + c log 1 = 4+c. log y = x – 4 12. The rate of increase of lice on a sheep is proportional to the number present. Write this as a differential equation. If N = 30 at t = 0 and N = 70 at t = 8 days, find a formula for N at t days.
solve dy dx x y x y

[DOCX File]Dr. M.G.R. Educational and Research Institute - 1st Year B ...
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(i.e)If y is a function of . x , then the rate of change of y with respect to x is called the differential co-efficient of y . It is denoted by dy/dx (or) d(f(x))/dx (or) f ’ x (or) Df(x) Find . dy dx . if . y = 3sinx+4 cosx- e x . Solution: dy dx =3cosx -4sinx- e x . Find . dy dx . if y= e x +3 tanx+log x 6 . Solution: Given . y = e x +3tanx ...
dy dx log e x

[DOCX File]www.cwladis.com
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Find . dy dx : e xy + x 2 + y 2 =100 . y= log 3 x 3 x+1 . x sin y =y cos x . y= 1 2 arctan e 2x . y =ln ⃡ 2 x 4 +2 x . if for the mystery function g x = ⃡ x the derivative is g ' x = ⃡ x ⋅ ⃛ x . For . y=3 x 2 -2x+1 , find dy dx . using one of the formal limit definitions of the derivative. Draw the following graphs:
3 x y 1 dy dx 1

[DOCX File]Delhi Public School Official Page
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dy/dx is called differential co-efficient or derivative of y with respect to x. ... d dx ( log x) = 1/x . d dx ( log u) = 1/u ; du dx . d dx ... (upper limit), then the integral of this function is written as . a b f x dx . In this case, first of all the given function is integrated using the appropriate formula and then the upper and lower ...
dx y x 1 dy 0

[DOC File]Microsoft Word - MATHS ASSIGNMENT CLASS XII …
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If tan (x+y) + tan(x –y) = ∏/4 Find dy/dx. 2. If xm yn = (x + y) m+n then. Prove that dy/dx = y/x. 3. If γ( 1 – x8 ) + γ( 1 – y8 ) = a ( x4 - y4 ) then ... If y = x log x then prove that x3 y’’ = (xy’ - y ) 2 (a + bx) 6. If y = sin ( 1/a logy ) then (1 – x2 ) y2 - x y 1 - a2 y = 0. 7. If y = ( sin -1 x …
y log x then dy dx

[DOC File]ASSIGNMENT 17 : INTEGRATION BY SUBSTITUTION
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cos2 (x) dx. 25. If y = x loge (x) find dy. dx . and hence find : ( loge (x) dx. ASSIGNMENT 16 ANSWERS. 1. (3x2(x3 + 2)5 dx u = x3 + 2. du = 3x2 dx = (u5. du = u6 + c = (x3 + 2)6 + c. 6 6. 2. ... du = 3x2 +4x dx = ( du = log u + c= log(x3 + 2x2 –5)+c. u. 15. (cos x e sin x dx
dy dx x y x y 1

[DOC File]Econ 604 - Virginia Commonwealth University
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dY/dX = X/Y Given a budget constraint, with positive prices for both, the consumer would maximize utility by purchasing only X. On the other hand, if we framed the problem in terms of Y removal, then U = (X2+Y2).5 as we established in the part c, the MRS for such a problem–X/Y exhibits an increasing MRS.
dy dx log x 1

Dy dx y x log x