What is the slope of y=2x^2-3x,(2,2) ?

The slope of y=2x^2-3x,(2,2) is 5

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slope of y=2x^2-3x,(2,2)

slope

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

5

Solution steps

y = 2 x^{2} - 3 x

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

2 x^{2} - 3 x

\frac{d}{d x} (2 x^{2} - 3 x) = 4 x - 3

4 x - 3

Find the value of

4 x - 3

for

x = 2 : 5

5

x \to 2 - lim (\frac{x + 2}{x - 2})

y = x - 2

x \to 1 lim (x^{2} + e^{x})

\frac{\partial}{\partial x} (5 x y arcsin (yz))

\frac{d}{d x} (\frac{- 2}{x ^{4}} + \frac{1}{x ^{3}} - x)