Find the values of x for which y=[x(x−2)]2 is an increasing function

1.	Find the values of x for which y=[x(x−2)]2 is an increasing function. OR Find the equation of tangent and normal to the curve x2a−y2b2=1 at the point (√2a,b).
Answer» Find the values of x for which $y = [x (x - 2)]^{2}$ is an increasing function. OR Find the equation of tangent and normal to the curve $\frac{x^{2}}{a} - \frac{y^{2}}{b^{2}} = 1$ at the point $(\sqrt{2} a, b)$ .

Find the values of x for which y=[x(x−2)]2 is an increasing function. OR Find the equation of tangent and normal to the curve x2a−y2b2=1 at the point (√2a,b).

Answer»

Find the values of x for which $y = [x (x - 2)]^{2}$ is an increasing function.

Find the equation of tangent and normal to the curve $\frac{x^{2}}{a} - \frac{y^{2}}{b^{2}} = 1$ at the point $(\sqrt{2} a, b)$ .