Application of Derivatives
Let f be a function defined on [a, b] such that fprime(x)>0, for all x∈(a,b). Then prove that f is an increasing function on (a, b).
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The side of an equilateral triangle are increasing at the rate of 2 cm/s. Find the rate at which the area is increasing when the side is 10 cm.
Show that the maximum value of x1/x is e1/e
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Show that (x+x1) has a maximum and minimum, but the maximum value is less than the minimum value.
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The side of a square is increasing at the rate of 0.2 cm/s. Find the rate of increase of the perimeter of the square.
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