Let f ( x ) = 9 − 1 2 x 2 . (a) Use the definition of derivative and the Procedure/Example box on page 562 to verify that f ' ( x ) = − x . (b) Find the instantaneous rate of change of f ( x ) at x = 2 . (c) Find the slope of the tangent to the graph of y = f ( x ) at x = 2 . (d) Find the point on the graph of y = f ( x ) at x = 2 .
Let f ( x ) = 9 − 1 2 x 2 . (a) Use the definition of derivative and the Procedure/Example box on page 562 to verify that f ' ( x ) = − x . (b) Find the instantaneous rate of change of f ( x ) at x = 2 . (c) Find the slope of the tangent to the graph of y = f ( x ) at x = 2 . (d) Find the point on the graph of y = f ( x ) at x = 2 .
Solution Summary: The author explains the formula for the derivative of function f(x).
What is the derivative of the function B(x)=3/(x+2) at x=a?
Let f(x) = 5x2-3x.
(a) Use the definition of derivative and the Procedure/Example box in this section to find the derivative.
f'(x) =
(b) Find the instantaneous rate of change of f(x) at x = -1.
(c) Find the slope of the tangent to the graph of y = f(x) at x = -1.
(d) Find the point on the graph of y = f(x) at x = -1.
(x, y) =
Chapter 9 Solutions
Mathematical Applications for the Management Life and Social Sciences
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