What is the tangent of y=5x-4sqrt(x),(1,1) ?

The tangent of y=5x-4sqrt(x),(1,1) is y=3x-2

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tangent of y=5x-4sqrt(x),(1,1)

tangent of

y = 5 x - 4 x, (1, 1)

y = 3 x - 2

Solution steps

Find the slope of

y = 5 x - 4 x : \frac{d y}{d x} = 5 - \frac{2}{x}

Compute the slope of

y = 5 x - 4 x

(1, 1) : m = 3

Find the line with slope m=

3

and passing through

(1, 1) : y = 3 x - 2

y = 3 x - 2

\int_{0}^{1} (∣ 3 x - 1 ∣ - 2 ∣ x ∣) d x

- \frac{5}{4} t^{4} + 120 t^{2}

(x^{2} + 1) \cdot e^{x - 1}

\int x e^{- x y} d y

\frac{\partial}{\partial x} (7 x e^{x})

What is the tangent of y=5x-4sqrt(x),(1,1) ?
The tangent of y=5x-4sqrt(x),(1,1) is y=3x-2