What is the derivative of 2e^x-2 ?

The derivative of 2e^x-2 is 2e^x

What is the first derivative of 2e^x-2 ?

The first derivative of 2e^x-2 is 2e^x

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\frac{d}{d x} (2 e^{x} - 2)

2 e^{x}

Solution steps

\frac{d}{d x} (2 e^{x} - 2)

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 e^{x}) = 2 e^{x}

\frac{d}{d x} (2) = 0

= 2 e^{x} - 0

Simplify

= 2 e^{x}

\frac{d}{d x} ((2 x + 3) (2 x - 3))

\frac{d}{d x} (- x^{2} + 3 x)

x \to \infty lim (\frac{1}{x ^{\frac{4}{3}}})

(x^{2} + 1) d y + (4 x y - x^{2}) d x = 0

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