What is the tangent of 5x^37x,\at x=2 ?

The tangent of 5x^37x,\at x=2 is y=1120x-1680

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tangent of 5x^37x,\at x=2

tangent of

5 x^{3} 7 x, at x = 2

y = 1120 x - 1680

Solution steps

Find the tangent point:

(2, 560)

Find the slope of

y = 5 x^{3} 7 x : \frac{d y}{d x} = 140 x^{3}

Compute the slope of

y = 5 x^{3} 7 x

x = 2 : m = 1120

Find the line with slope m=

1120

and passing through

(2, 560) : y = 1120 x - 1680

y = 1120 x - 1680

2 e^{- x} + e^{3 x}

\frac{\partial}{\partial x} (ln (x^{2} z^{2}))

\int \frac{1 + x}{1 - x} d x

\int (e^{x} - 1)^{2} d x

f (x) = a^{2 x}

What is the tangent of 5x^37x,\at x=2 ?
The tangent of 5x^37x,\at x=2 is y=1120x-1680