What is the derivative of xL(x-x) ?

The derivative of xL(x-x) is 2Lx-1

What is the first derivative of xL(x-x) ?

The first derivative of xL(x-x) is 2Lx-1

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

2 Lx - 1

Solution steps

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

Simplify

xL (x) - x : L x^{2} - x

= \frac{d}{d x} (L x^{2} - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (L x^{2}) - \frac{d x}{d x}

\frac{d}{d x} (L x^{2}) = 2 Lx

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

= 2 Lx - 1

\int \frac{7 x}{x ^{3} + 1} d x

y = (x + 7) (7 x + 2)

\frac{d}{d x} (x^{3} (8 - 3 x))

\frac{d}{d x} ((1 + 6 x^{2}) (x - x^{2}))

(s + 1) e^{- s π}

What is the derivative of xL(x-x) ?
The derivative of xL(x-x) is 2Lx-1
What is the first derivative of xL(x-x) ?
The first derivative of xL(x-x) is 2Lx-1