Continuity and Differentiability
Differentiate w.r.t. x the function (logx)logx,x>1
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If y=500e7x+600e−7x, show that dx2d2y=49y
Differentiate the functions with respect to xcos(x)
The function f(x)=sin∣x∣ is continuous for all x
If cosy=xcos(a+y), with cosa=±1, prove that dxdy=(sinacos2(a+y)).
Differentiate the functions with respect to x , cos(sinx)
Find the derivative of the function given byf(x)=sin(x2)˙
Differentiate the following w.r.t. x:log(logx),x>1
Discuss the continuity of sine function.