What is the derivative of x-inx ?

The derivative of x-inx is 1-in

What is the first derivative of x-inx ?

The first derivative of x-inx is 1-in

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

1 - in

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 1 - in

t e^{- 0.003 t} cos (10 t)

\int_{0}^{1} \frac{1}{( x + 1 ) ( x ^{2} + 1 )} d x

f (x) = x^{4} + 8 x^{3} + 2 x + 2, at x = 1

\frac{\partial}{\partial x} (\frac{12 x}{x + y})

f (x) = (- x^{3} + x^{2} + x) cos (x)