Differentiate the function h(x) using the quotient rule. h(x) =2x+5 /2--x

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asked Jul 21, 2022 108k views

5 votes

Differentiate the function h(x) using the quotient rule.
h(x) =2x+5 /2--x

Mathematics
college

Zac Bowling asked

by Zac Bowling

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$h'(x)=((d)/(dx)[2x+5] (2-x)-(d)/(dx)[2-x](2x+5) )/((2-x)^2)\\=(2(2-x)-(-1)(2x+5))/((2-x)^2) \\=(4-2x+2x+5)/((2-x)^2)\\=(9)/((2-x)^2) \\=(9)/(x^2-4x+4)$

Candyce answered Jul 26, 2022

by Candyce

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