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

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

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

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

e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{x} - 0

Simplify

= e^{x}

\frac{d}{d x} (\frac{1}{5 x ^{\frac{4}{5}}})

\int w d w

\int x^{3} + 2 x d x

\frac{d y}{d x} = 1 - x - y

f (x) = - 8 x^{2} + 5 x, at x = - 1

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