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3psilon
 3 years ago
f(x) = x^3*g(x) , g(7) = 2 , g'(7) = 9 . What is f'(7) ?
3psilon
 3 years ago
f(x) = x^3*g(x) , g(7) = 2 , g'(7) = 9 . What is f'(7) ?

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0apply multiplication rule for derivatives i dont remember that actual name for it

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0use the chain rule to find derivative of f(x)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[f \left( x \right)= x^3 \times g \left( x \right) \] you mean this?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[f \prime \left( x \right)= x^3 \times \left( \frac{ d }{ dx } \right)g \left( x \right) + g \left( x \right) \times \left( \frac{ d }{ dx } \right)x^3\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[f \prime \left( x \right)= x^3 \times g \prime \left( x \right) + g \left( x \right) \times 2x^2\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[f \prime \left( x \right)= x^3 \times g \prime \left( x \right) + g \left( x \right) \times 3x^2\] this one

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now to find \[f \prime \left( 7 \right) =7^3 \times \left( 9 \right) + 2 \times \left( 3 \times7^2 \right)\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what is g(7), only know g(7)
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