What is the derivative of y=ln(2)(x+3) ?

The derivative of y=ln(2)(x+3) is ln(2)

What is the first derivative of y=ln(2)(x+3) ?

The first derivative of y=ln(2)(x+3) is ln(2)

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derivative of

y = ln (2) (x + 3)

ln (2)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= ln (2) \frac{d}{d x} (x + 3)

Apply the Sum/Difference Rule:

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

= ln (2) (\frac{d x}{d x} + \frac{d}{d x} (3))

\frac{d x}{d x} = 1

\frac{d}{d x} (3) = 0

= ln (2) (1 + 0)

Simplify

= ln (2)

x, 16

y = - 8 e^{- 2 x} - 9 e^{2 x} - 5 e^{x}

9 sin (3 x)

\int 1 - 49 x^{2} d x

\int_{0}^{9} 2 x - \frac{2 x}{3} d x

What is the derivative of y=ln(2)(x+3) ?
The derivative of y=ln(2)(x+3) is ln(2)
What is the first derivative of y=ln(2)(x+3) ?
The first derivative of y=ln(2)(x+3) is ln(2)