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NCERT TAMIL-CONTINUITY AND DIFFERENTIABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 5
- Differentiate w.r.t.x the function in Exercises 1 to 11. (3x^(2)-9x+...
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- Differentiate w.r.t.x the function. sin^(3)x+ cos^(6)x
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- Differentiate w.r.t.x the function (5x)^( 3 cos 2x)
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- Differentiate w.r.t.x the function in Exercises 1 to 11. sin^(-1)(x ...
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- Differentiate w.r.t.x the function in Exercises 1 to 11. (cos^(-1)""...
Text Solution
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- Differentiate w.r.t.x the function. cot^(-1)[(sqrt(1+sin x)+sqrt(1-s...
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- Differentiate w.r.t.x the function. (logx)^(log x), x gt 1.
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- Differentiate w.r.t.x the function in Exercises 1 to 11. cos( a cos ...
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- Differentiate w.r.t.x the function. (sin x- cos x)^( sin x - cos x),...
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- Differentiate w.r.t.x the function. x^(x)+x^(a)+a^(x)+a^(a), for som...
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- x^(x^(2)-3)+(x-3)^(x^2)," for "x gt 3.
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- Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t l...
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- Find (dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1.
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- If xsqrt(1+y)+ysqrt(1+x)=0," for ", -1 lt x lt 1, prove that (dy)/(d...
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- If (x-a)^(2)+(y-b)^(2)=c^(2), for some c gt 0, prove that ([1+((dy)/...
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- If cos y= x cos (a+y), with cos a ne pm 1, prove that (dy)/(dx)=(cos^(...
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- If x=a (cos t +t sin t)" and "y= a (sin t -t cos t), find (d^(2)y)/(dx...
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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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- Derivative of f(x)=x^n is nx^(n-1) for any positive integer n.
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- Using the fact the that sin (A+B)= sin A cos B+ cos A sin B and the di...
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