What is the slope of g(x)=(-7e^x)/(5e^x-8) ?

The slope of g(x)=(-7e^x)/(5e^x-8) is (56e^x)/((5e^x-8)^2)

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slope of g(x)=(-7e^x)/(5e^x-8)

slope

g (x) = \frac{- 7 e ^{x}}{5 e ^{x} - 8}

\frac{56 e ^{x}}{( 5 e ^{x} - 8 ) ^{2}}

Solution steps

g (x) = \frac{- 7 e ^{x}}{5 e ^{x} - 8}

In order to find the slope of the function, take the derivative of

\frac{- 7 e ^{x}}{5 e ^{x} - 8}

\frac{d}{d x} (\frac{- 7 e ^{x}}{5 e ^{x} - 8}) = \frac{56 e ^{x}}{( 5 e ^{x} - 8 ) ^{2}}

\frac{56 e ^{x}}{( 5 e ^{x} - 8 ) ^{2}}

What is the slope of g(x)=(-7e^x)/(5e^x-8) ?
The slope of g(x)=(-7e^x)/(5e^x-8) is (56e^x)/((5e^x-8)^2)