differentiate by quotient rule 2x-3/4x+5
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let y = 2x-3/4x+5
dy/dx =
=4x+5{d/dx(2x-3)} - (2x-3){d/dx(4x+5)}/(4x+5)²
= (4x+5)(2) -(2x-3)(4)/(4x+5)²
= 8x+10-8x+12/(4x+5)²
= 22/(4x+5)²
dy/dx =
=4x+5{d/dx(2x-3)} - (2x-3){d/dx(4x+5)}/(4x+5)²
= (4x+5)(2) -(2x-3)(4)/(4x+5)²
= 8x+10-8x+12/(4x+5)²
= 22/(4x+5)²
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