1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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1) Find the derivative of f(x)= 2x° + 2x+12. Then evaluate the
derivative at x=1andx= 4.
2) The distance a particle moves along a path is defined by
s(t)=6t–2 +4, where t is given in seconds and the distance of
the particle is given in millimeters. Find the expression for the
instantaneous velocity v(f) of the particle.
3) The height h in meters of a person jumping off a trampoline can be
defined by h(t)=0.3+3t –²on the interval 0, 3], where time t is.
given in seconds. Find the maximum and minimum heights of the
jump.
Transcribed Image Text:1) Find the derivative of f(x)= 2x° + 2x+12. Then evaluate the derivative at x=1andx= 4. 2) The distance a particle moves along a path is defined by s(t)=6t–2 +4, where t is given in seconds and the distance of the particle is given in millimeters. Find the expression for the instantaneous velocity v(f) of the particle. 3) The height h in meters of a person jumping off a trampoline can be defined by h(t)=0.3+3t –²on the interval 0, 3], where time t is. given in seconds. Find the maximum and minimum heights of the jump.
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