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Differentiate the following functions wi...

Differentiate the following functions with respect to x
(i)`x^(2/3)+7e-5/x+7tanx`
(ii) `x^2dotlnxdote^x`
(iii)`lntan(pi/4+x/2)`

(iv) `(sinx-x cos x)/(x sin x+cos x)`
(v) `tan(tan^(-1)sqrt((1-cosx)/(1+cosx))),0ltxltpi`

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RESONANCE DPP ENGLISH-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  3. Differentiate the following functions with respect to x (i)x^(2/3)+7...

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  4. "If "y=sec (tan^(-1)x)," then "(dy)/(dx)" at "x=1 is equal to

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  5. y=tan^(-1)""(4x)/(1+5x^(2))+tan^(-1)""(2+3x)/(3-2x)

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  6. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2) , then find (dy)/(dx) at x=1...

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  7. Find (dy)/(dx), when xa n dy are connected by the following relations ...

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  10. (d^2x)/(dy^2) equals: ((d^2y)/(dx^2))^(-1) (b) -((d^2y)/(dx^2))^(-1)(...

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  11. If x=a t^2,y=2a t , then (d^2y)/(dx^2) is equal to (a)-1/(t^2) (b...

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  12. If x=(1+t)/(t^3),y=3/(2t^2)+2/t , then x((dy)/(dx))^3-(dy)/(dx) is e...

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  18. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

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  19. If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...

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