What is (d^2}{dx^2}(\frac{e^x)/x) ?

The answer to (d^2}{dx^2}(\frac{e^x)/x) is (e^x(x^2-2(x-1)))/(x^3)

Popular >

(d^2}{dx^2}(\frac{e^x)/x)

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

\frac{e ^{x} ( x ^{2} - 2 ( x - 1 ) )}{x ^{3}}

Solution steps

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

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

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

\frac{d}{d x} (\frac{e ^{x} x - e ^{x}}{x ^{2}}) = \frac{e ^{x} ( x ^{2} - 2 ( x - 1 ) )}{x ^{3}}

= \frac{e ^{x} ( x ^{2} - 2 ( x - 1 ) )}{x ^{3}}

x \to - 3 - lim (\frac{∣ x + 3 ∣}{x + 3})

x \to - 8 - lim (\frac{x + 3}{x + 8})

\int_{0}^{1} 15 cos (x^{2}) d x

\int \frac{9}{x ( x ^{4} + 1 )} d x

\int \frac{ln ( ln ( x ) )}{x \cdot ln ( x )} d x

What is (d^2}{dx^2}(\frac{e^x)/x) ?
The answer to (d^2}{dx^2}(\frac{e^x)/x) is (e^x(x^2-2(x-1)))/(x^3)