Example 5: Use the Second Form of the Chain Rule to find the derivative of each function. Verify that each function is a composite function by identifying the outside function g and the inside function h. Identify the Rate-of-Change Rule used in finding the derivative of the outside function. Use proper notation. f(x) = (-3x +2x-5) a. f'(x) = f(x) = V-3x2 + 2x-5 CoX t 2x5 f (x) = 2 5 131 -2 f(x) = (In (x)) с. d. f(x) 3/In (x) f(x) = In (-3x2 +2x-5) е. f. f(x) 2ln (x)

Question
Example 5:
Use the Second Form of the Chain Rule to find the derivative of each function. Verify that
each function is a composite function by identifying the outside function g and the inside
function h. Identify the Rate-of-Change Rule used in finding the derivative of the outside
function. Use proper notation.
f(x) = (-3x +2x-5)
a.
f'(x) =
f(x) = V-3x2 + 2x-5
CoX t 2x5
f (x) =
2 5
131
Expand
Transcribed Image Text

Example 5: Use the Second Form of the Chain Rule to find the derivative of each function. Verify that each function is a composite function by identifying the outside function g and the inside function h. Identify the Rate-of-Change Rule used in finding the derivative of the outside function. Use proper notation. f(x) = (-3x +2x-5) a. f'(x) = f(x) = V-3x2 + 2x-5 CoX t 2x5 f (x) = 2 5 131

-2
f(x) = (In (x))
с.
d. f(x) 3/In (x)
f(x) = In (-3x2 +2x-5)
е.
f. f(x) 2ln (x)
Expand
Transcribed Image Text

-2 f(x) = (In (x)) с. d. f(x) 3/In (x) f(x) = In (-3x2 +2x-5) е. f. f(x) 2ln (x)

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