What is the first derivative of 4x+5 ?

The first derivative of 4x+5 is 4

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derivative of 4x+5

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

4

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 4 + 0

Simplify

= 4

x \to 5 + lim (\frac{2}{x + 5})

\frac{\partial}{\partial x} (a x + b y^{2} + c x^{2} y)

\frac{d}{d x} (arctan (tan (x)))

x \to 0 + lim (x ln (x^{2}))

y = 9 - x^{2}, y = 0, x