Derivative of `(f@g)(x)w.r.t.g(x)` is

If f(x)=logx , then the derivative of f (logx)w.r.t.x is

If f(x)=tan^(-1)x," then the derivative of "f(tanx)w.r.t.f(cotx) is

Find the derivative of f (x) w.r.t. g(x) for the f (x) = log x, g (x) = a ^(x)

Find the derivative of f (x) w.r.t. g(x) for the f (x) = e ^(x), g (x) = sqrtx)

Find the derivative of f (x) w.r.t. g(x) for the f(x) = e ^(sinx), g (x) = sin x

If : f'(1)=2" and "g'(sqrt(2))=4," then: derivative of "f(tanx)w.r.t.g(secx)" at "x=pi//4, is

The derivative of (log x) ^(x) w.r.t x is (log x)^(x-1) [1+ log x log (log x)] R : (d)/(dx) {f (x) ^(g(x))[g (x) (f'(x))/(f (x)) + g'(x) log (f(x) ]

Find the derivative of f (x) w.r.t. g(x) for the f (x) = Tan ^(-1) ((sqrt (1 + x ^(2)) -1)/( x )), g (x) = Tan ^(-1) x

Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(prime)(1)=2 and g^(prime)(sqrt(2))=4 .