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BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Consider the function f(x)={((sin^2ax)/x^2,x!=0),(1,x=0):} Redefine th...
04:33
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- Consider the function f(x)={((sin^2ax)/x^2,x!=0),(1,x=0):} Redefine th...
04:33
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- Consider the function f(x)={(1+x,xle2),(5-x,x>2):} Check the different...
07:38
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- Consider the function f(x)={(1+x,xle2),(5-x,x>2):} Check the different...
07:38
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- If y=cos^-1[(1-x^2)/(1+x^2)] Put x=tantheta and prove that y=2tan^-1x.
01:47
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- If y=cos^-1[(1-x^2)/(1+x^2)] Find dy/dx.
02:22
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- Let siny=xsin(a+y) Express x as a function of y.
00:51
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- If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)
04:30
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- Consider f:[3,infty)to[1,infty) given by f(x)=x^2-6x+10. Find f^-1
04:04
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- Find dy/dx if x^(2//3)+y^(2//3)=a^(2//3), where a is a constant.
03:33
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- Find the derivative of log(tan e^x) w.r.t.x.
02:23
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- Find (dy)/(dx) if 2x+3y=sinx
01:27
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- Consider the parametric functions x=acos^3theta and y=bsin^3theta. Fin...
02:14
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- Consider the parametric functions x=acos^3theta and y=bsin^3theta. Sho...
04:15
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- Differentiate the following. e^(ax).cos(bx+c).
03:58
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- Differentiate the following. sin[sqrt(sinsqrtx)].
04:06
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- If y=x^(x^x). Prove that logy=x^x(logx)
01:29
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- If y=x^(x^x) Find dy/dx.
05:00
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- Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) . Hence prove that y=pi/4+x/2...
07:11
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- Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) Find dy/dx.
08:16
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