## Related questions with answers

Question

Suppose that the function f has derivatives of all orders at x and that $F(x)=(m x+b) f(x)$, where $m$ and $b$ are constants. Express $F^{\prime \prime \prime}(x)$ in terms of x and derivatives of f.

Solution

VerifiedAnswered 11 months ago

Answered 11 months ago

Step 1

1 of 7In this exercise, we are tasked to find $F'''(x)$ given that

$F(x)=(mx+b)f(x),$

where:

$m$ and $b$ are constants,

$f(x)$ has derivatives of all order at $x$.

*What differentiation rules should we use?*

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