What is the slope of y=sqrt(1-4x),\at x=-1 ?

The slope of y=sqrt(1-4x),\at x=-1 is -2/(sqrt(5))

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slope of y=sqrt(1-4x),\at x=-1

slope

y = 1 - 4 x, at x = - 1

- \frac{2}{5}

Decimal

- 0.89442 \dots

Solution steps

y = 1 - 4 x

In order to find the slope of the function, take the derivative of

1 - 4 x

\frac{d}{d x} (1 - 4 x) = - \frac{2}{1 - 4 x}

- \frac{2}{1 - 4 x}

Find the value of

- \frac{2}{1 - 4 x}

for

x = - 1 : - \frac{2}{5}

- \frac{2}{5}

What is the slope of y=sqrt(1-4x),\at x=-1 ?
The slope of y=sqrt(1-4x),\at x=-1 is -2/(sqrt(5))