What is the tangent of-3cos(x),\at x= pi/2 ?

The tangent of-3cos(x),\at x= pi/2 is y=3x-(3pi)/2

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tangent of-3cos(x),\at x= pi/2

tangent of

- 3 cos (x), at x = \frac{π}{2}

y = 3 x - \frac{3 π}{2}

Solution steps

Find the tangent point:

(\frac{π}{2}, 0)

Find the slope of

y = - 3 cos (x) : \frac{d y}{d x} = 3 sin (x)

Compute the slope of

y = - 3 cos (x)

x = \frac{π}{2} : m = 3

Find the line with slope m=

3

and passing through

(\frac{π}{2}, 0) : y = 3 x - \frac{3 π}{2}

y = 3 x - \frac{3 π}{2}

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y^{^{'}} = 1 + e^{y - x + 5}

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What is the tangent of-3cos(x),\at x= pi/2 ?
The tangent of-3cos(x),\at x= pi/2 is y=3x-(3pi)/2