What is the first derivative of 2x+2 ?

The first derivative of 2x+2 is 2

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derivative of 2x+2

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

2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 + 0

Simplify

= 2

\int \frac{( ln ( x ) + 7 ) ^{3}}{x} d x

\frac{d}{d x} (3 x^{2} - 4 x + 10)

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

y = x^{3} + x^{2} + x - 1, y = x^{3} + 5

\frac{d y}{d t} = 2 y + y^{5}, y (0) = 1