For every value of $$x$$, the function $$f(x)=\frac{1}{a^x}, a>$$ 0 is,

If $$f(x)=\log (\sin x), x \in\left[\frac{\pi}{6}, \frac{5 \pi}{6}\right]$$, then value of '$$c$$' by applying LMVT is

The equation of tangent at $$P(-4,-4)$$ on the curve $$x^2=-4 y$$ is

- The edge of a cube is decreasing at the rate of $0.04 \mathrm{~cm} / \mathrm{sec}$. If the edge of the cube is 10 cms , then rate of decrease of surface area of the cube is...