Let f ( x ) = 3 x 2 − 2 x . (a) Use the definition of derivative and the Procedure/Example box on page 562 to verify that f ' ( x ) = 6 x − 2 . (b) Find the instantaneous rate of change of . (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 .
Let f ( x ) = 3 x 2 − 2 x . (a) Use the definition of derivative and the Procedure/Example box on page 562 to verify that f ' ( x ) = 6 x − 2 . (b) Find the instantaneous rate of change of . (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 .
Solution Summary: The author explains the formula for the derivative of function f(x).
Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5 and is tangent to the graph at the point corresponding to x=-1 .
How can I find the derivative of Y
With respect to X. Show me step by step please
find the derivative of y with respect to the appropriatevariable. y = csc-1 (x2 + 1), x > 0
Chapter 9 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.