What is the derivative of in(x+3) ?

The derivative of in(x+3) is in

What is the first derivative of in(x+3) ?

The first derivative of in(x+3) is in

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\frac{d}{d x} (in (x + 3))

in

Solution steps

\frac{d}{d x} (in (x + 3))

Simplify

in (x + 3) : i (3 n + n x)

= \frac{d}{d x} (i (3 n + n x))

Take the constant out:

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

= i \frac{d}{d x} (3 n + n x)

Apply the Sum/Difference Rule:

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

= i (\frac{d}{d x} (3 n) + \frac{d}{d x} (n x))

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

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

= i (0 + n)

Simplify

= in

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

\int_{5}^{8} \frac{y}{y ^{2} - y - 2} d y

e^{x}, e^{5 x}, 0, 1

\frac{d}{d x} (1 - sin (2 x))