If adifferentiabl e function `f (x)=e^x+2x` is given, then equal to `d/(dx) (f^-1(x))` at `x=f(ln 3)` is equal to

Differentiation of the function : f(x) = 4x+3

If (d)/(dx)f(x)=g(x), then int f(x)g(x)dx is equal to:

Statement 1: If differentiable function f(x) satisfies the relation f(x)+f(x-2)=0AAx in R , and if ((d/(dx)f(x)))_(x=a)=b ,t h e n((d/(dx)f(x)))_(a+4000)=bdot Statement 2: f(x) is a periodic function with period 4.

Statement 1: If differentiable function f(x) satisfies the relation f(x)+f(x-2)=0AAx in R , and if ((d/(dx)f(x)))_(x=a)=b ,t h e n((d/(dx)f(x)))_(a+4000)=bdot Statement 2: f(x) is a periodic function with period 4.

Differentiate f(x)=e^(2x) from first principles.

Let f(x) = (x^2 - x)/(x^2 + 2x) , then d/(dx) (f^(-1)(x))^(-) is equal to

f(x)=(2x-pi)^(3)+2x-cos x,Th e n,(d)/(dx)[f^(-1)(x)] at x=pi is equal to :

Let a continous and differentiable function f(x) is such that f(x) and (d)/(dx)f(x) have opposite signs everywhere. Then,

The function f(x)=e^(x)+x, being differentiable and one-to-one,has a differentiable inverse f^(-1)(x) .The value of (d)/(dx)(f^(-1)) at the point f(log2) is (a) (1)/(1n2) (b) (1)/(3)( c) (1)/(4) (d) none of these