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AKSHRANAND PUBLICATION-સાતત્ય અને વિકલન-EXAMPLE
- y=sqrt(x+sqrt(x+sqrt(x+........oo))) તો dy/dx=
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- d/dx a^(3 log a^x)=
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- d/dx(3 sin 4 x-4 sin^3 4x )=
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- y^2=4a(x+a) તો dy/dx=
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- y= a cos x+bsin x તો (d^2)/dx^2=
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- y=x^4+sin^3x તો (d^2)/dx^2=
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- d/dx(sqrt(x sin x))= 0 < x < pi
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- y= log(x +sqrt(x^2+1))તો dy/dx=
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- d/dx(cos^2(x^2)-sin^2(x^2))=
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- જો d/dxf(x)=g(x) તથા g(x)=f(x) તો f (x)=
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- y= asinx +bcos x તો y^2+(y1)^2=(a^2+b^2!=0)
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- f(x)={((sin5x)/(kx),x,!=,0),(1 , x,=,0):}વિધેય f એ x =0 આગળ સતત હોય, ત...
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- [d/dx(cosec^-1x)](x=2)=
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- d/dx(x^2+sin^2 x)^3=
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- d/dxtan^-1((x+a)/(1-xa))=(x,a in R^+,xa>1) છે.
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- d/dx(tan^2x)=
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- d/dx(e^-(2 log x))=
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- d/dxsqrt(sinx^3)=
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- f(x)=sin x માટે [0, pi ] માં રોલનું પ્રમેય ચકસો.
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- f(x)={((k cos x)/(pi-2x), x!=pi/2),(3, x=pi/2):},x=pi/2 આગળ સાતત્ય છે.
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