# Derivatives at a Point (3 Problems)

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Find the value of the derivative of the function at the indicated point.

f(x)= 1/3 (2x^3 - 4) point (0, -4/3)

h(x)= x/(x - 5) point (6,6)

f(t)= (2t^2 - 3)/3t point (2, 5/6)

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#### Solution Preview

1. f(x)= 1/3 (2x^3 - 4) point (0, -4/3)

f'= 1/3*2*3x^2 = 2 x^2

Then f'(x=0) = 0

Thus,

h(x)= x/(x ...

#### Solution Summary

Derivatives at a point are found.

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