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Application of Derivatives
Question
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Show that the function f given by f (x) = 10x is increasing for all x.

Answer

f (x) = 10x
∴   f '(x) = 10x log 10 > 0 ∀ x.
∴   f is increasing ∀ x.

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Some More Questions From Application of Derivatives Chapter

The radius of a circle is increasing uniformly at the rate of 4 cm per second Find the rate at which the area of the circle is increasing when the radius is 8 cm.