If `f(x)=((a+x)/(b+x))^x+cosx` ,find `f^(prime)(0)`

If f(x)=((a+x)/(b+x))^(x)+cosx find f'(0) .

If f^(prime)(x)=asinx+bcosx and f^(prime)(0)=4,f(0)=3,f(pi/2)=5 . Find f(x).

If f^(prime)(x)=asinx+bcosx and f^(prime)(0)=4,\ \ f(0)=3,\ \ f(pi/2)=5 , find f(x) .

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

If f(x)=|cosx-sinx| , find f^(prime)(pi/6) and f^(prime)(pi/3) .

If f(x)=|cosx-sinx| ,find f^(prime)(pi/6) and f^(prime)(pi/3)dot

If f(x)=|cosx| , find f^(prime)(pi/4) and f^(prime)((3pi)/4) .

If f(x)=xtan^(-1)x , find f^(prime)(sqrt(5)) .

If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) .

Let f(x)={(sinx^2)/x x!=0 0x=0, then f^(prime)(0^+)+f^(prime)(0^-) has the value equal to (a) 0 (b) 1 (c) 2 (d) None of these