What is the derivative of (2901/(1+4.76e^{-0.3x)}) ?

The derivative of (2901/(1+4.76e^{-0.3x)}) is (4142.628e^{-0.3x})/((1+4.76e^{-0.3x))^2}

What is the first derivative of (2901/(1+4.76e^{-0.3x)}) ?

The first derivative of (2901/(1+4.76e^{-0.3x)}) is (4142.628e^{-0.3x})/((1+4.76e^{-0.3x))^2}

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\frac{d}{d x} (\frac{2901}{1 + 4.76 e ^{- 0.3 x}})

\frac{4142.628 e ^{- 0.3 x}}{( 1 + 4.76 e ^{- 0.3 x} ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{2901}{1 + 4.76 e ^{- 0.3 x}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2901 \frac{d}{d x} (\frac{1}{1 + 4.76 e ^{- 0.3 x}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 2901 \frac{d}{d x} ((1 + 4.76 e^{- 0.3 x})^{- 1})

Apply the chain rule:

- \frac{1}{( 1 + 4.76 e ^{- 0.3 x} ) ^{2}} \frac{d}{d x} (1 + 4.76 e^{- 0.3 x})

= - \frac{1}{( 1 + 4.76 e ^{- 0.3 x} ) ^{2}} \frac{d}{d x} (1 + 4.76 e^{- 0.3 x})

\frac{d}{d x} (1 + 4.76 e^{- 0.3 x}) = - 1.428 e^{- 0.3 x}

= 2901 (- \frac{1}{( 1 + 4.76 e ^{- 0.3 x} ) ^{2}} (- 1.428 e^{- 0.3 x}))

Simplify

2901 (- \frac{1}{( 1 + 4.76 e ^{- 0.3 x} ) ^{2}} (- 1.428 e^{- 0.3 x})) : \frac{4142.628 e ^{- 0.3 x}}{( 1 + 4.76 e ^{- 0.3 x} ) ^{2}}

= \frac{4142.628 e ^{- 0.3 x}}{( 1 + 4.76 e ^{- 0.3 x} ) ^{2}}

\frac{\partial}{\partial y} (sin^{2} (m x + n y))

\frac{d}{d x} (ln (x^{5} - 3 x^{3}))

n = 0 \sum \infty \frac{1}{6 ^{n}}

x y^{^{'}} + 2 y = 12 x^{2}

\frac{d}{d t} (sin (t^{3}))

What is the derivative of (2901/(1+4.76e^{-0.3x)}) ?
The derivative of (2901/(1+4.76e^{-0.3x)}) is (4142.628e^{-0.3x})/((1+4.76e^{-0.3x))^2}
What is the first derivative of (2901/(1+4.76e^{-0.3x)}) ?
The first derivative of (2901/(1+4.76e^{-0.3x)}) is (4142.628e^{-0.3x})/((1+4.76e^{-0.3x))^2}