b) If f is differentiable at a and g is differentiable at f(a), then (gof)" (a) = g'(f (a)) f" (a) +g" (f(a)) (f'(a))². c) If the nth-order derivatives f(n) (a) and g(n)(a) exist, then (f+g)) (a) = f(n)(a) + g(n) (a). d) If the nth-order derivatives f(n)(a) and g(n)(a) exist and are nonzero, then (9)") (a) = g(a) f(n)(a) + (-1)" f(a)g(") (a) gn+¹(a)
b) If f is differentiable at a and g is differentiable at f(a), then (gof)" (a) = g'(f (a)) f" (a) +g" (f(a)) (f'(a))². c) If the nth-order derivatives f(n) (a) and g(n)(a) exist, then (f+g)) (a) = f(n)(a) + g(n) (a). d) If the nth-order derivatives f(n)(a) and g(n)(a) exist and are nonzero, then (9)") (a) = g(a) f(n)(a) + (-1)" f(a)g(") (a) gn+¹(a)
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 4CR
Related questions
Question
Plz solution to a b and d
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning