What is the first derivative of y=2x+5 ?

The first derivative of y=2x+5 is 2

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derivative of y=2x+5

derivative of

y = 2 x + 5

2

Solution steps

\frac{d}{d x} (2 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

= 2 + 0

Simplify

= 2

x (x - 4)^{3}

f (x) = \frac{1}{x ^{2}}, at x = 2

(- 7, - 7), (- 6, - 1)

(- 4, - 3), (7, - 5)

f (x) = ln (x - 5)