What is the tangent of-4cos(x),\at x= pi/2 ?

The tangent of-4cos(x),\at x= pi/2 is y=4x-2pi

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tangent of-4cos(x),\at x= pi/2

tangent of

- 4 cos (x), at x = \frac{π}{2}

y = 4 x - 2 π

Solution steps

Find the tangent point:

(\frac{π}{2}, 0)

Find the slope of

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

Compute the slope of

y = - 4 cos (x)

x = \frac{π}{2} : m = 4

Find the line with slope m=

4

and passing through

(\frac{π}{2}, 0) : y = 4 x - 2 π

y = 4 x - 2 π

\int \frac{4 x ^{2}}{x ^{2} + 8} d x

y = (\frac{( x - 1 )}{( x - 2 )})^{2}

\frac{d}{d x} (- csc (x) cot (x))

\frac{d y}{d x} + \frac{e}{π} y = 5

\frac{d y}{d x} + y^{3} x + 7 y = 0

What is the tangent of-4cos(x),\at x= pi/2 ?
The tangent of-4cos(x),\at x= pi/2 is y=4x-2pi