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Find the derivative of the function.

Find the derivative of the function.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Find the derivative of the function. 3) f(x) = (8x-7)(3 – 8x³ ) A) -64x3 +56x2 +24 C) -256x4 + 168x3 +24x B) -256x3 +168x2 +24x - 21 D) -256x3 +168x2 +24 F-1 4) y = 4x-8 A) -8 4x -8 8x B) - 8x-8 D) - 8 (4x – 8)2 (4x – 8)2 (4x- 8)2 5) The position of a particle moving along a coordinate line is s=/2+2t with s in meters and t in seconds. Find the particle's velocity at t=1 sec. B)-글m/se A) 1 m/sec D) m/sec 6) A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant 50.0 mm. Find the rate of change of surface area with respect to radius when the radius is 0.050 mm. (Answer can be left in terms of r). A) 50.2n mm²/mm C) 100.0 r mm²/mm B) 100.2r mm²/mm D) 50.17 mm²/mm
Transcribed Image Text:Find the derivative of the function. 3) f(x) = (8x-7)(3 – 8x³ ) A) -64x3 +56x2 +24 C) -256x4 + 168x3 +24x B) -256x3 +168x2 +24x - 21 D) -256x3 +168x2 +24 F-1 4) y = 4x-8 A) -8 4x -8 8x B) - 8x-8 D) - 8 (4x – 8)2 (4x – 8)2 (4x- 8)2 5) The position of a particle moving along a coordinate line is s=/2+2t with s in meters and t in seconds. Find the particle's velocity at t=1 sec. B)-글m/se A) 1 m/sec D) m/sec 6) A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant 50.0 mm. Find the rate of change of surface area with respect to radius when the radius is 0.050 mm. (Answer can be left in terms of r). A) 50.2n mm²/mm C) 100.0 r mm²/mm B) 100.2r mm²/mm D) 50.17 mm²/mm
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