Consider f : R and g: R- differentiable functions. Suppose that D (g(x)) is a matrix whose rows are R1, Ro and Rz and Df(2) is a matrix whose column are C1 and C2. Then the entry corresponding to the 1st row and 1st column of the derivative of h(x) = g(f(x)) is (The · can be seen as a product of matrices or as the dot product of the appropriate vectors ) R1 · C1 R1 · (C1 + C2) (R1 + R2) · C1 (R1 + R2) · (C1 + C2)
Consider f : R and g: R- differentiable functions. Suppose that D (g(x)) is a matrix whose rows are R1, Ro and Rz and Df(2) is a matrix whose column are C1 and C2. Then the entry corresponding to the 1st row and 1st column of the derivative of h(x) = g(f(x)) is (The · can be seen as a product of matrices or as the dot product of the appropriate vectors ) R1 · C1 R1 · (C1 + C2) (R1 + R2) · C1 (R1 + R2) · (C1 + C2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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