What is the derivative of (e^x)/(7x^2+5) ?

The derivative of (e^x)/(7x^2+5) is (e^x(7x^2+5)-14xe^x)/((7x^2+5)^2)

What is the first derivative of (e^x)/(7x^2+5) ?

The first derivative of (e^x)/(7x^2+5) is (e^x(7x^2+5)-14xe^x)/((7x^2+5)^2)

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derivative of

\frac{e ^{x}}{7 x ^{2} + 5}

\frac{e ^{x} ( 7 x ^{2} + 5 ) - 14 x e ^{x}}{( 7 x ^{2} + 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{2} + 5})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

\frac{d}{d x} (7 x^{2} + 5) = 14 x

= \frac{e ^{x} ( 7 x ^{2} + 5 ) - 14 x e ^{x}}{( 7 x ^{2} + 5 ) ^{2}}

x \to 9 lim (x^{2})

\int cos (t) d t

\frac{e ^{- π s}}{s ^{2} + 9}

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

\int \frac{ln ( 14 x )}{x ^{5}} d x

What is the derivative of (e^x)/(7x^2+5) ?
The derivative of (e^x)/(7x^2+5) is (e^x(7x^2+5)-14xe^x)/((7x^2+5)^2)
What is the first derivative of (e^x)/(7x^2+5) ?
The first derivative of (e^x)/(7x^2+5) is (e^x(7x^2+5)-14xe^x)/((7x^2+5)^2)