Problem 28 is the chain rule for the derivative of a function of a function. Hint: Assume that d f / d g and d g / d z exist, and write equations like (3.5) of Chapter 4 for Δ f and Δ g substitute Δ g into Δ f , divide by Δ z , and take limits. d d z ln z = 1 z , z ≠ 0. Hint: Expand ln 1 + Δ z z in series.
Problem 28 is the chain rule for the derivative of a function of a function. Hint: Assume that d f / d g and d g / d z exist, and write equations like (3.5) of Chapter 4 for Δ f and Δ g substitute Δ g into Δ f , divide by Δ z , and take limits. d d z ln z = 1 z , z ≠ 0. Hint: Expand ln 1 + Δ z z in series.
Problem 28 is the chain rule for the derivative of a function of a function. Hint: Assume that
d
f
/
d
g
and
d
g
/
d
z
exist, and write equations like (3.5) of Chapter 4 for
Δ
f
and
Δ
g
substitute
Δ
g
into
Δ
f
,
divide by
Δ
z
,
and take limits.
d
d
z
ln
z
=
1
z
,
z
≠
0.
Hint: Expand
ln
1
+
Δ
z
z
in series.
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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