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NAGEEN PRAKASHAN ENGLISH-Continuity and Differentiability-Miscellaneous Exercise
- Differentiate w.r.t. x the function. (3x^2-9x+5)^9
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- Differentiate w.r.t. x the functionsin^3x+cos^6x
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- y=(5x)^(3cos 2x) then find (dy)/(dx).
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- sin^(-1)(xsqrt(x)),0 le x le 1
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- Differentiate w.r.t. x the function (cos^(-1)x/2)/(sqrt(2x+7)),-2<x<2
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- Prove that:cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-s...
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- (log x)^(log x),x gt1
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- Differentiate w.r.t. x the function cos" "(a" "cos" "x" "+" "b" "s in"...
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- If y=(sinx-cosx)^(sinx-cosx),pi/4<x<(3pi)/4,"f i n d"(dy)/(dx)dot
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- Differentiate w.r.t. x the function x^x+x^a+a^x+a^a ,for some fixed a...
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- Differentiate x^x^(2-3)+(x-3)^x^2 with respect to x :
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- Find (dy)/(dx),if y=12(1-cost), x=10(t-sint)
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- If y=sin^(-1)x+sin^(-1)sqrt(1-x^2) , find (dy)/(dx) in each of the ...
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- "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).
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- "If "(x-a)^(2)+(y-b)^(2)=c^(2), for some cgt0, prove that ([1+((dy)/(d...
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- "If "cos y = x cos(a+y)," with "cos a ne pm1," prove that "(dy)/(dx)=(...
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- If x=a(cost+tsint) and y=a(sint-tcost), find (d^2y)/(dx^2)
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- If f(x)=|x|^3 , show that f"(x) exists for all real x and find it.
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- Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all...
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- Using the fact that s in (A + B) = s in A cos B + cos A s in Band the ...
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