What is the first derivative of 5x+4 ?

The first derivative of 5x+4 is 5

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derivative of 5x+4

\frac{d}{d x} (5 x + 4)

5

Solution steps

\frac{d}{d x} (5 x + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (4)

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (4) = 0

= 5 + 0

Simplify

= 5

x \to 4 lim (sin (\frac{2}{x} - \frac{1}{2}))

\frac{d}{d x} (\frac{x ^{2} - 8 x + 4}{2 x})

x \to 2 lim (3 - x^{2})

(1 + 7 x^{2}) (x - x^{2})

\frac{d y}{d x} + (\frac{7}{x}) y = x + 7