derivada de 540(1-e^{-0.1x})

Solução

\frac{d}{d x} (540 (1 - e^{- 0.1 x}))

54 e^{- 0.1 x}

Passos da solução

\frac{d}{d x} (540 (1 - e^{- 0.1 x}))

Retirar a constante:

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

= 540 \frac{d}{d x} (1 - e^{- 0.1 x})

Aplicar a regra da soma/diferença:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 540 (\frac{d}{d x} (1) - \frac{d}{d x} (e^{- 0.1 x}))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (e^{- 0.1 x}) = - 0.1 e^{- 0.1 x}

= 540 (0 - (- 0.1 e^{- 0.1 x}))

Simplificar

= 54 e^{- 0.1 x}

n = 3 \sum \infty \frac{2}{n ^{2} + 1}

\int \frac{( ln ^{3} ( x ) )}{x} d x

2 y^{^{'}} - y = e^{\frac{t}{3}}

f (x) = 5 ln (x)

\int_{0}^{2} - 2 x^{3} x^{2} + 4 d x