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USHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY APPLICATION OF DERIVATIVES -EXERCISE
- Examine the contiunity of the the following functions at indicated poi...
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- Find the derivative of the following functions from definition sqrtx c...
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- Find the derivative of the following functions from definition sin^2x.
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- Find the derivative of the following functions from definition sqrt(ta...
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- f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0
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- Test the differentiability of the following functions f(x)=x/(1+absx)a...
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- If y = tan^-1((acosx-bsinx)/(bcosx+asinx)), then find (dy)/(dx)
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- If y = tan^-1(secx+tanx), then find (dy)/(dx).
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- Find (dy)/(dx), if y=sin^-1((sqrt(1+x)+sqrt(1-x))/2), -1ltxlt1
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- Find (dy)/(dx), if x=sqrt(sin2u) and y=sqrt(cos2u)
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- Find (dy)/(dx), if x=a(t-sint), y=a(1-cost)at t=(pi)/2
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- If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...
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- If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a
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- Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.
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- Find the intervals where the following functions are (a) increasing an...
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- Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...
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- Find the points on the curve x^2+y^2-2x-4y+1=0,where the tangent is pa...
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- Find the equations of the tangent and the normal to the curve y = (x-7...
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- Find the angle of intersection of two curves y =2^x and y=5^x
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- Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.
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