What is (d^2)/(dx^2)((e^x)/(5+e^x)) ?

The answer to (d^2)/(dx^2)((e^x)/(5+e^x)) is (5e^x(-e^x+5))/((5+e^x)^3)

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(d^2)/(dx^2)((e^x)/(5+e^x))

\frac{d ^{2}}{d x ^{2}} (\frac{e ^{x}}{5 + e ^{x}})

\frac{5 e ^{x} ( - e ^{x} + 5 )}{( 5 + e ^{x} ) ^{3}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{e ^{x}}{5 + e ^{x}})

\frac{d}{d x} (\frac{e ^{x}}{5 + e ^{x}}) = \frac{5 e ^{x}}{( 5 + e ^{x} ) ^{2}}

= \frac{d}{d x} (\frac{5 e ^{x}}{( 5 + e ^{x} ) ^{2}})

\frac{d}{d x} (\frac{5 e ^{x}}{( 5 + e ^{x} ) ^{2}}) = \frac{5 e ^{x} ( - e ^{x} + 5 )}{( 5 + e ^{x} ) ^{3}}

= \frac{5 e ^{x} ( - e ^{x} + 5 )}{( 5 + e ^{x} ) ^{3}}

f (x) = (x^{3} - 2 x^{2} + 3 x + 1)^{11}

\frac{d}{d x} (x - 1 - x^{2})

y^{^{''}} + 4 y^{^{'}} + 8 y = 0

\int \frac{5}{x ( x ^{4} + 6 )} d x

x \to 2 lim (\frac{2 - x}{x})

What is (d^2)/(dx^2)((e^x)/(5+e^x)) ?
The answer to (d^2)/(dx^2)((e^x)/(5+e^x)) is (5e^x(-e^x+5))/((5+e^x)^3)