Answer to Question #132346 in Calculus for Timmy

Question

Differentiate f(x) = (x³+4) / (4x- 5 ) using quotient rule.

Answer 1

f'(x) = ((x³+4)'(4x- 5 )-(x³+4)(4x- 5 )') / (4x- 5 )² =

(3x²(4x- 5 )-(x³+4)4) / (4x- 5 )² = (12x³-15x² )-4x³-16) / (4x- 5 )² =

(8x³-15x²-16) / (4x- 5 )² .