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Which of the Following Is the Best Description of F'(t) f(t+h)f(t)h\frac { f ( t + h ) - f ( t ) } { h }

Question 122

Multiple Choice

Which of the following is the best description of f'(t) ?


A) It is a function which gives the slope of the secant line through any two points.
B) The derivative as a function is the best approximation of the tangent to line to f(x) .
C) It is approximately equal to f(t+h) f(t) h\frac { f ( t + h ) - f ( t ) } { h } , as t gets very small.
D) f'(a) measures the rate of change of f(t) per unit change in t at the point t = a.
E) f'(t) = f(t) t\frac { \mathrm { f } ( \mathrm { t } ) } { \mathrm { t } }

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