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

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completeidiot Group TitleBest ResponseYou've already chosen the best response.0
apply multiplication rule for derivatives i dont remember that actual name for it
 one year ago

love_math Group TitleBest ResponseYou've already chosen the best response.0
use the chain rule to find derivative of f(x)
 one year ago

completeidiot Group TitleBest ResponseYou've already chosen the best response.0
"product rule"
 one year ago

miteshchvm Group TitleBest ResponseYou've already chosen the best response.1
\[f \left( x \right)= x^3 \times g \left( x \right) \] you mean this?
 one year ago

miteshchvm Group TitleBest ResponseYou've already chosen the best response.1
\[f \prime \left( x \right)= x^3 \times \left( \frac{ d }{ dx } \right)g \left( x \right) + g \left( x \right) \times \left( \frac{ d }{ dx } \right)x^3\]
 one year ago

miteshchvm Group TitleBest ResponseYou've already chosen the best response.1
\[f \prime \left( x \right)= x^3 \times g \prime \left( x \right) + g \left( x \right) \times 2x^2\]
 one year ago

miteshchvm Group TitleBest ResponseYou've already chosen the best response.1
\[f \prime \left( x \right)= x^3 \times g \prime \left( x \right) + g \left( x \right) \times 3x^2\] this one
 one year ago

miteshchvm Group TitleBest ResponseYou've already chosen the best response.1
now to find \[f \prime \left( 7 \right) =7^3 \times \left( 9 \right) + 2 \times \left( 3 \times7^2 \right)\]
 one year ago

love_math Group TitleBest ResponseYou've already chosen the best response.0
what is g(7), only know g(7)
 one year ago
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