What is the slope of y=2(x-4)^2,(2,8) ?

The slope of y=2(x-4)^2,(2,8) is -8

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slope of y=2(x-4)^2,(2,8)

slope

y = 2 (x - 4)^{2}, (2, 8)

- 8

Solution steps

y = 2 (x - 4)^{2}

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

2 (x - 4)^{2}

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

4 (x - 4)

Find the value of

4 (x - 4)

for

x = 2 : - 8

- 8

cos (x), \frac{1}{3} π

x + 1 = y^{2}, y^{2} + 2 x = 10

12 y^{^{''}} + 5 y^{^{'}} - 3 y = 0

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

f (x) = x^{0.5}