What is the derivative of f(x)=(e^x)/(7x^2+4) ?

The derivative of f(x)=(e^x)/(7x^2+4) is (e^x(7x^2+4)-14xe^x)/((7x^2+4)^2)

What is the first derivative of f(x)=(e^x)/(7x^2+4) ?

The first derivative of f(x)=(e^x)/(7x^2+4) is (e^x(7x^2+4)-14xe^x)/((7x^2+4)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = \frac{e ^{x}}{7 x ^{2} + 4}

\frac{e ^{x} ( 7 x ^{2} + 4 ) - 14 x e ^{x}}{( 7 x ^{2} + 4 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{2} + 4})

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} + 4 ) - \frac{d}{d x} ( 7 x ^{2} + 4 ) e ^{x}}{( 7 x ^{2} + 4 ) ^{2}}

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

\frac{d}{d x} (7 x^{2} + 4) = 14 x

= \frac{e ^{x} ( 7 x ^{2} + 4 ) - 14 x e ^{x}}{( 7 x ^{2} + 4 ) ^{2}}

8 x - 8 x

\int_{0.5}^{3} \frac{sin ( x )}{x} d x

t - 3

y = - 4 cos (x), at x = \frac{π}{2}

\int (x + 6) (x - 3) d x

What is the derivative of f(x)=(e^x)/(7x^2+4) ?
The derivative of f(x)=(e^x)/(7x^2+4) is (e^x(7x^2+4)-14xe^x)/((7x^2+4)^2)
What is the first derivative of f(x)=(e^x)/(7x^2+4) ?
The first derivative of f(x)=(e^x)/(7x^2+4) is (e^x(7x^2+4)-14xe^x)/((7x^2+4)^2)