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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
- Differentiate w.r.t. x the function : sin^-1(xsqrtx), 0lexle1
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- Differentiate w.r.t. x the function : cos^-1(x/2)/sqrt(2x+7), x lies b...
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- Differentiate w.r.t. x the function : cot^-1[(sqrt(1+sinx) + sqrt(1-si...
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- Differentiate w.r.t. x the function : (logx)^logx, x>1
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- Differentiate w.r.t. x the function : cos(acosx+bsinx), for some const...
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- Differentiate w.r.t. x the function : (sinx - cosx)^(sinx-cosx), x lie...
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- Differentiate w.r.t. x the function : x^x + x^a + a^x + a^a, for some ...
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- Differentiate w.r.t. x the function : x^(x^2-3) + (x-3)^(x^2), for x>...
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- Find dy/dx if y =12(1-cost), x =10(t-sint)
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- Find dy/dx if y = sin^-1x + sin^-1 sqrt(1-x^2), 0ltxlt1
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- If xsqrt(1+y) + ysqrt(1+x) = 0 for x lies between -1 and 1 prove that ...
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- If (x-a)^2 + (y-b)^2 = c^2 , for some c > 0, prove that [1+(dy/dx)^2]...
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- If cosy = xcos(a+y), with cos a ne +-1, prove that dy/dx = (cos^2(a+y...
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- If x = a(cost + t sint) 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(x^n)/dx = nx^(n-1) for all p...
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- Using the fact that sin(A+B) = sinA cosB + cosA sinB and the differen...
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- Does there exist a function which is continuous everywhere but not dif...
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- If y = |[f(x),g(x),h(x)],[1,m,n],[a,b,c]|, prove that dy/dx = |[f'(x)...
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- If y = e^(acos^-1x), -1lexle1, show that (1-x^2)(d^2y)/dx^2 - x(dy/dx)...
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