What is (\partial)/(\partial x)(2(1-e^x)^2) ?

The answer to (\partial)/(\partial x)(2(1-e^x)^2) is -4e^x(1-e^x)

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(\partial)/(\partial x)(2(1-e^x)^2)

\frac{\partial}{\partial x} (2 (1 - e^{x})^{2})

- 4 e^{x} (1 - e^{x})

Solution steps

\frac{\partial}{\partial x} (2 (1 - e^{x})^{2})

Take the constant out:

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

= 2 \frac{\partial}{\partial x} ((1 - e^{x})^{2})

Apply the chain rule:

2 (1 - e^{x}) \frac{\partial}{\partial x} (1 - e^{x})

= 2 (1 - e^{x}) \frac{\partial}{\partial x} (1 - e^{x})

\frac{\partial}{\partial x} (1 - e^{x}) = - e^{x}

= 2 \cdot 2 (1 - e^{x}) (- e^{x})

Simplify

= - 4 e^{x} (1 - e^{x})

(3 x^{3} + 4)^{2}

\int (x^{- 4} + \frac{1}{x}) d x

\frac{d}{d x} ((11 x^{4} + 5)^{3})

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

\int_{0}^{4} (x^{2} + 1) d x

What is (\partial)/(\partial x)(2(1-e^x)^2) ?
The answer to (\partial)/(\partial x)(2(1-e^x)^2) is -4e^x(1-e^x)