10. Consider y = s0.25 (5s – 4)1.6 Find the derivative of y at s = 8.

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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10. Consider y = s0.25 (5s – 4)16. Find the derivative of y at s = 8.
11. Differentiate f(x) = Vx² + 1³. Do not simplify.
x+2
12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and
the value of b.
Transcribed Image Text:10. Consider y = s0.25 (5s – 4)16. Find the derivative of y at s = 8. 11. Differentiate f(x) = Vx² + 1³. Do not simplify. x+2 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the value of b.
7. A position function of a particle is given by s(t) = (t2 – 9)?.
a. Find the moments of time when the particle is at the origin.
b. Find v(t) and the moments of time when the particle is at rest.
c. Find a(t) and the moments of time when the acceleration is 0.
Transcribed Image Text:7. A position function of a particle is given by s(t) = (t2 – 9)?. a. Find the moments of time when the particle is at the origin. b. Find v(t) and the moments of time when the particle is at rest. c. Find a(t) and the moments of time when the acceleration is 0.
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