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kerem murat

kerem m.

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Benjamin Densmore verified

Numerade educator

Use the quotient rule to find the derivative of the following. [ egin{aligned} y & =frac{x^{2}-3 x+8}{x^{2}+9} \ frac{d y}{d x} & =square end{aligned} ]

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Taha T verified

Numerade educator

Differentiate the following function. y = 10x³e??³ y' = ?

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Taha T verified

Numerade educator

Find ( frac{mathrm{dy}}{mathrm{dx}} ). [ y=6 ln x+9 log _{6} x ] ( frac{mathrm{dy}}{mathrm{dx}}= ) ( square ) (Type an exact answer.)

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Amelia Hardy verified

Numerade educator

Find ( frac{mathrm{dy}}{mathrm{dx}} ) [ y=8 log _{2} x ] ( frac{mathrm{dy}}{mathrm{dx}}=square ) (Simplify your answer.)

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Kathleen Carty verified

Numerade educator

Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 2 - ln x; x = 1 y =

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Audrey Fong verified

Numerade educator

Find ( f^{prime}(x) ) [ egin{array}{l} mathrm{f}(mathrm{x})=6 mathrm{x}^{e}-7 e^{mathrm{x}} \ mathrm{f}^{prime}(mathrm{x})=square end{array} ] (Type an exact answer in terms of ( e ).)

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Audrey Fong verified

Numerade educator

Find ( mathrm{f}^{prime}(mathrm{x}) ) [ egin{array}{l} f(x)=7 x-ln x^{3} \ f^{prime}(x)=square end{array} ]

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Audrey Fong verified

Numerade educator

Find ( f^{prime}(x) ). [ egin{array}{l} f(x)=-4 ln x+11 x^{2}-12 \ f^{prime}(x)=square end{array} ]

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Amelia Hardy verified

Numerade educator

Differentiate the following function. f(x) = 8 + 2x + 6e^x f'(x) = ?

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Amelia Hardy verified

Numerade educator

For the demand equation, find the rate of change of price ( p ) with respect to quantity ( q ). What is the rate of change for the indicated value of ( q ) ? [ p=e^{-0.001 q} ; q=100 ] The rate of change of price ( p ) with respect to quantity ( q ) when ( q=100 ) is ( square ) (Round to five decimal places as needed.)

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