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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-CHAPTER TEST
- Differentiate the following w.r.t. x: 3^(x+2).
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- A function f : R to R is defined as follows : f(x)={{:(x","if x le 1),...
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- if sqrtx+sqrty=4, then (dy)/(dx) is :
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- If f (x)=x+7 , and g (x)=x-7 , x in R , then d/(dx) (gof)(x)=
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- Find (dy)/(dx) If sin^2 x +cos^2 y=1
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- Find (dy)/(dx) when x=4t , y=4/t
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- The function f(x) Is defined as follows : f(x)={{:(x^(2)+ax+b" , "0l...
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- If y=tan^(-1) ((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))), x...
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- If x^y=e^(x-y), then show that dy/dx=(logx)/(1+logx)^2
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- If y=e^(ax)cosb x, Show that (d^2y)/(dx^2)-2a(dy)/(dx)+(a^2+b^2)y=0
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- Verify Rolle's Theorem for the function : f(x) = sin x + cos x in the ...
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- Differentiate tan^(- 1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-...
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- Find (dy)/(dx), if y^x+x^y+x^x=a^b.
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