What is the derivative of x+sqrt(1-x) ?

The derivative of x+sqrt(1-x) is 1-1/(2sqrt(1-x))

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

The first derivative of x+sqrt(1-x) is 1-1/(2sqrt(1-x))

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

1 - \frac{1}{2 1 - x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 1 - \frac{1}{2 1 - x}

\frac{d y}{d t} + e^{t} y = - 4 e^{t}

x \to 0 + lim (\frac{- 4 x ^{2} - 6 x}{x})

f (x) = \frac{3}{4} x^{8}

\frac{d}{d y} (3 x (5 + y)^{- 1})

y = 2 x, y = x^{2} - 3

What is the derivative of x+sqrt(1-x) ?
The derivative of x+sqrt(1-x) is 1-1/(2sqrt(1-x))
What is the first derivative of x+sqrt(1-x) ?
The first derivative of x+sqrt(1-x) is 1-1/(2sqrt(1-x))