What is the derivative of (e^s)/(7s+1) ?

The derivative of (e^s)/(7s+1) is (7e^ss-6e^s)/((7s+1)^2)

What is the first derivative of (e^s)/(7s+1) ?

The first derivative of (e^s)/(7s+1) is (7e^ss-6e^s)/((7s+1)^2)

Popular >

derivative of

\frac{e ^{s}}{7 s + 1}

\frac{7 e ^{s} s - 6 e ^{s}}{( 7 s + 1 ) ^{2}}

Solution steps

\frac{d}{d s} (\frac{e ^{s}}{7 s + 1})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d s} ( e ^{s} ) ( 7 s + 1 ) - \frac{d}{d s} ( 7 s + 1 ) e ^{s}}{( 7 s + 1 ) ^{2}}

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

\frac{d}{d s} (7 s + 1) = 7

= \frac{e ^{s} ( 7 s + 1 ) - 7 e ^{s}}{( 7 s + 1 ) ^{2}}

Expand

e^{s} (7 s + 1) - 7 e^{s} : 7 e^{s} s - 6 e^{s}

= \frac{7 e ^{s} s - 6 e ^{s}}{( 7 s + 1 ) ^{2}}

f (x) = (x e^{2 x - 4}), x = 2

n = 1 \sum \infty \frac{n - 7}{n + 7}

f (x) = sec^{5} (x)

\frac{d}{d x} (\frac{128000}{x} + x^{2})

\frac{\partial}{\partial x} (3 x^{2} + 4 x y + 2 y^{2})

What is the derivative of (e^s)/(7s+1) ?
The derivative of (e^s)/(7s+1) is (7e^ss-6e^s)/((7s+1)^2)
What is the first derivative of (e^s)/(7s+1) ?
The first derivative of (e^s)/(7s+1) is (7e^ss-6e^s)/((7s+1)^2)