QUESTION 1: Find the derivative of sin2(x)
QUESTION 2: Determine the equation of the tangent to the curve f(x) = 4x3+ 2x2 + 7 at x = 1
QUESTION 3: Determine the absolute extrema for the following function on the given interval
G(x) = 2x3 + 3x2 - 12x + 4 on [0, 2]
QUESTION 4: Water is poured into a canonical container at the rate of 10 cm3/sec. The cone points directly down, and it has a height of 30 cm and a base radius of 10 cm. How fast is the water level rising when the water is 4 cm deep? Refer the diagram given below.
![966_figure.jpg](https://secure.tutorsglobe.com/CMSImages/966_figure.jpg)
QUESTION 5: Find expression for dy/dx, if y4 + x5 - 7x2 = 0.