Application of ...

Given function $$f(x)=\left(\displaystyle\frac{e^{2x}-1}{e^{2x}+1}\right)$$ is.

The coordinates of the points(s) at which the tangents to the curve $$\displaystyle y=x^{3}-3x^{2}-7x+6$$ cut the positive semi axis OX a line segment half that on the negative semi axis OY is/are given by

If $$y = 4x - 5$$ is a tangent to the curve $$y^{2} = px^{3} + q$$ at $$(2, 3)$$, then

If $$f(x)=e^x(x-2)^2$$ then

All the critical points of $$f(x)=\dfrac {|2-x|}{x^2}$$ is/are:

If the slope of the curve $$y=\cfrac { ax }{ b-x } $$ at the point $$(1,1)$$ is $$2$$, then the values of $$a$$ and $$b$$ are respectively

If $$f:[1, 10]\rightarrow[1,10]$$ is a non-decreasing function and $$g:[1,10] \rightarrow [1,10]$$ is a non-increasing function, Let $$h(x) = f(g(x))$$ with $$h(1)=1$$. then, $$h(2)$$

The curve given by $$x+y={ e }^{ xy }$$ has a tangent parallel to the y-axis at the point

Abscissa of $$p_{1}, p_{2}, p_{3} .... p_{n}$$ are in

If $$g(x)$$ is continuous function at $$x = a$$, such that $$g(a) > 0$$ and $$f'(x) (g(x))(x^{2} - ax + a^{2}) \forall x\epsilon R$$, then $$f(x)$$ is