[Step-by-Step] A table of values for f,g,f',g' is given x f(x) g(x) f'(x) g'(x) 1 3 2 4 6 2 1 8 5 7 3 7 2 7 9 If S(x)=2f(x)+g(x), find S'(x) If P(x)=f(x)g(x),
Question: A table of values for \(f,g,f',g'\) is given
| x | \[f\left( x \right)\] | \[g\left( x \right)\] | \[f'\left( x \right)\] | \[g'\left( x \right)\] |
| 1 | 3 | 2 | 4 | 6 |
| 2 | 1 | 8 | 5 | 7 |
| 3 | 7 | 2 | 7 | 9 |
- If \(S\left( x \right)=2f\left( x \right)+g\left( x \right)\), find \(S'\left( x \right)\)
- If \(P\left( x \right)=f\left( x \right)g\left( x \right)\), find \(P'\left( x \right)\)
- If \(C\left( x \right)=f\left( g\left( x \right) \right)\), find \(C'\left( x \right)\)
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