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Differentiate following functions.
h (t ) = 2t5 + t2- 5 / t2
We can simplify this rational expression as follows.
h (t ) = 2t5 / t2+ t2 / t2 - 5 / t2 = 2t 3 + 1 - 5t -2
It is a function which we can differentiate.
h′ (t ) = 6t 2 ++ 10t -3
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
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Recognizes the absolute extrema & relative extrema for the given function. f ( x ) = x 3 on [-2, 2] Solution :
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