Question
Asked Oct 18, 2019
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Write the formula for the derivative of the function
f(x) 12x419x3
f'(x)
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Write the formula for the derivative of the function f(x) 12x419x3 f'(x)

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Write the formula for the derivative of the function
g(x) 3.1x36.1x - 6.6
g '(x)
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Write the formula for the derivative of the function g(x) 3.1x36.1x - 6.6 g '(x)

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Expert Answer

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Step 1

To differentiate the given functions

Step 2

Basic rule for differentiating powers of x

Basic rule:
d
-(x")= nx
dx
n-1
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Basic rule: d -(x")= nx dx n-1

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Step 3

Apply the basic rule to both functions (recall ,...

d
Basic rule:(x" = nx
1)f(x) 12x19x3 +9
(12x +19x2 +9)
f'(x)=
dx
12 (x19 "(x')+0(n = 0)
dx
48 572
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d Basic rule:(x" = nx 1)f(x) 12x19x3 +9 (12x +19x2 +9) f'(x)= dx 12 (x19 "(x')+0(n = 0) dx 48 572

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Math

Calculus

Derivative

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