Question

what is the derivative of..

Answer 1

\[f(x)=\frac{ 5 }{ 1-3x }\]

Answer 2

You can use either the product or quotient rule... do you know how to use either?

Answer 3

Use the Quotient Rule: f(x)/g(x) = [g(x) f ' (x) - f(x) g'(x)] / [g(x)^2]

My Song: [Lo, de-hi minus high, de low] / [low to the 2nd power]

So f(x) = 5 and g(x) = 1-3x

and f ' (x) = 0 and g ' (x) = -3

Next plug n derive: [[(1-3x)(0)] - [(5)(-3)]] / [(1-3x)^2]

So [[0] - [-15]] / [(1-3x)^2]

Final Answer: [15 ] / [(1-3x)^2]