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

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

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

tangent of

2 cos (x) + 3 sin (x), at x = \frac{π}{2}

y = - 2 x + 3 + π

Solution steps

Find the tangent point:

(\frac{π}{2}, 3)

Find the slope of

y = 2 cos (x) + 3 sin (x) : \frac{d y}{d x} = - 2 sin (x) + 3 cos (x)

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = - 2

Find the line with slope m=

- 2

and passing through

(\frac{π}{2}, 3) : y = - 2 x + 3 + π

y = - 2 x + 3 + π

\frac{ln ( 2 x )}{2 x}

y = 20 x, y = x^{2}

(\frac{1}{2})^{^{'}}

\frac{\partial}{\partial x} (\frac{sin ( x )}{cos ( x )})

\frac{d}{d x} (\frac{x ^{2}}{arctan ( x )})

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