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

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

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

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

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

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

Solution steps

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

Treat

n, I

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= I n \frac{1}{2 1 - 2 x} (- 2)

Simplify

I n \frac{1}{2 1 - 2 x} (- 2) : - \frac{n I}{1 - 2 x}

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

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