What is the derivative of in(x-1) ?

The derivative of in(x-1) is in

What is the first derivative of in(x-1) ?

The first derivative of in(x-1) is in

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\frac{d}{d x} (in (x - 1))

in

Solution steps

\frac{d}{d x} (in (x - 1))

Simplify

in (x - 1) : i (- n + n x)

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

\frac{d n}{d x} = 0

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

= i (- 0 + n)

Simplify

= in

y^{^{''}} - y = e^{- x}

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