f(x)= 9-x^2 find (f(x+h)-f(x) )/h



Answer to a math question f(x)= 9-x^2 find (f(x+h)-f(x) )/h

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$\frac{ 9-{\left( x+h \right)}^{2}-\left( 9-{x}^{2} \right) }{ h }$
$\frac{ 9-{\left( x+h \right)}^{2}-9+{x}^{2} }{ h }$
$\frac{ -{\left( x+h \right)}^{2}+{x}^{2} }{ h }$
$\frac{ -\left( {x}^{2}+2hx+{h}^{2} \right)+{x}^{2} }{ h }$
$\frac{ -{x}^{2}-2hx-{h}^{2}+{x}^{2} }{ h }$
$\frac{ -2hx-{h}^{2} }{ h }$
$\frac{ h \times \left( -2x-h \right) }{ h }$

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