Could someone please help me out with these differentiation questions. Thanks.
determine f'(x) of f(x) = [4rt(x2+4)]^3
The isosceles triangle has sides AC and AB of equal length and each increasing at 0.1cm/sec from an initial 5cm. Find the rate of change in the area of triangle ABC at the instant when AC=AB=10cm.
The length of a particular rectangle is three times its width and this ratio is maintained as the width is increased at 1mm/sec. Find the rate of increase in the area of the rectangle when the width is 10cm.
A right angle triangle has sides AB and BC able to vary in length, AC is constantly 10cm long and angle ABC is always a right angle. Initially AB is of length 4cm and increases at a constant rate of 0.1cm/sec. Find the rate of change in the length of BC, 20 seconds after the increasing in the length of AB commenced.