What is the tangent of y=4xsin(x),(pi/2 ,2pi) ?

The tangent of y=4xsin(x),(pi/2 ,2pi) is y=4x

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tangent of y=4xsin(x),(pi/2 ,2pi)

tangent of

y = 4 x sin (x), (\frac{π}{2}, 2 π)

y = 4 x

Solution steps

Find the slope of

y = 4 x sin (x) : \frac{d y}{d x} = 4 (sin (x) + x cos (x))

Compute the slope of

y = 4 x sin (x)

(\frac{π}{2}, 2 π) : m = 4

Find the line with slope m=

4

and passing through

(\frac{π}{2}, 2 π) : y = 4 x

y = 4 x

(x y + 2 y) d x + (3 x) d y = 0

x^{2} + 3 x

\frac{d ^{2} y}{d t ^{2}} - 2 \frac{d y}{d t} - 8 y = 0

\frac{d}{d x} ((x^{3} + 2 x - 5)^{2})

ln (1 - 2 x)

What is the tangent of y=4xsin(x),(pi/2 ,2pi) ?
The tangent of y=4xsin(x),(pi/2 ,2pi) is y=4x