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

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

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derivative of 2(1-x)

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

- 2

Solution steps

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (1) = 0

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

= 2 (0 - 1)

Simplify

= - 2

y^{^{''}} + 4 y = x^{2} + 3 e^{x}

\frac{\partial}{\partial x} (cos (k x))

(- 4, 3), (- 1, - 6)

\int x^{2} 4 - x^{2} d x

\int (z + 1) e^{3 z} d z