What is the derivative of 4+sqrt(1-x) ?

The derivative of 4+sqrt(1-x) is -1/(2sqrt(-x+1))

What is the first derivative of 4+sqrt(1-x) ?

The first derivative of 4+sqrt(1-x) is -1/(2sqrt(-x+1))

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\frac{d}{d x} (4 + 1 - x)

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

Solution steps

\frac{d}{d x} (4 + 1 - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) + \frac{d}{d x} (1 - x)

\frac{d}{d x} (4) = 0

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

= 0 - \frac{1}{2 1 - x}

Simplify

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

\int_{0}^{1} 9 e^{x^{2}} d x

t^{2} y^{^{'}} + y^{^{'}} = t y

cos (sin (cot (π x)))

2 x + \frac{3}{x}

\int_{0}^{4} ∣ x - 3 ∣ d x

What is the derivative of 4+sqrt(1-x) ?
The derivative of 4+sqrt(1-x) is -1/(2sqrt(-x+1))
What is the first derivative of 4+sqrt(1-x) ?
The first derivative of 4+sqrt(1-x) is -1/(2sqrt(-x+1))