Differentiate
(a). `f(x)=(1)/(x^(2))`
(b). `y=root2(x^(2))`

Differentiate f(x) = (x+2)^(2/3) (1-x)^(1/3) w.r.t. x

Differentiate f(x) = (x+2)^(2//3) (1-x)^1//3) w.r.t.x

Differentiate the following : f(x) = (x^(2) + 4x)^(7)

Differentiate the function f(x) = sqrt(x-2)

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

Differentiate, f(x) = ax^(2) + (b)/(x) with respect to 'x' using first principle.

If y =int _(u(x))^(v(x))f(t) dt , let us define (dy)/(dx) in a different manner as (dy)/(dx) = v'(x) f^(2)(v(x)) - u'(x) f^(2)(u(x)) alnd the equation of the tangent at (a,b) as y -b = (dy/dx)_((a,b)) (x-a) If F(x) = int_(1)^(x)e^(t^(2)//2)(1-t^(2))dt , then d/(dx) F(x) at x = 1 is

If f(x)=x+tanx and g(x) is the inverse of f(x), then differentiation of g(x) is (a) 1/(1+[g(x)-x]^2) (b) 1/(2-[g(x)+x]^2) (c) 1/(2+[g(x)-x]^2) (d) none of these

If (d)/(dx)[f(x)]=(1)/(1+x^(2))," then: "(d)/(dx)[f(x^(3))]=

If (d(f(x))/(dx)=(1)/(1+x^(2)) then (d)/(dx){f(x^(3))} is