Application of Derivatives · Mathematics · BITSAT

A cylindrical tank of radius $$10 \mathrm{~m}$$ is being filled with wheat at the rate of $$200 \pi$$ cubic metre per hour. Then, the depth of the whe...

Water is being filled at the rate of $$1 \mathrm{~cm}^3 / \mathrm{s}$$ in a right circular conical vessel (vertex downwards) of height $$35 \mathrm{~c...

A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-circle at each end. If the area ...

A spherical balloon is filled with 4500$$\pi$$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72$$\pi$$ ...

The slope of the tangent to the curve x = t2 + 3t $$-$$ 8, y = 2t2 $$-$$ 2t $$-$$ 5 at the point t = 2 is

Let $$f(x) = {a_0} + {a_1}{x^2} + {a_2}{x^4} + {a_3}{x^6} + ... + {a_n}{x^{2n}}$$ be a polynomial in a real variable x with $$0 ...