What is the tangent of y=3sin(x),\at x= pi/4 ?

The tangent of y=3sin(x),\at x= pi/4 is y= 3/(sqrt(2))x+3/(sqrt(2))-(3pi)/(4sqrt(2))

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tangent of y=3sin(x),\at x= pi/4

tangent of

y = 3 sin (x), at x = \frac{π}{4}

y = \frac{3}{2} x + \frac{3}{2} - \frac{3 π}{4 2}

Solution steps

Find the tangent point:

(\frac{π}{4}, \frac{3}{2})

Find the slope of

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

Find the line with slope m=

\frac{3}{2}

and passing through

(\frac{π}{4}, \frac{3}{2}) : y = \frac{3}{2} x + \frac{3}{2} - \frac{3 π}{4 2}

y = \frac{3}{2} x + \frac{3}{2} - \frac{3 π}{4 2}

y^{^{''}} + 2 y^{^{'}} + 4 y = 50 cos (t)

\frac{d}{d x} ((x^{2} sin (x)) - 2 cos (x))

\frac{d}{d x} ((4 x + 3)^{2})

(\frac{5 - v ^{2}}{5 + v ^{2}})^{^{'}}

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

What is the tangent of y=3sin(x),\at x= pi/4 ?
The tangent of y=3sin(x),\at x= pi/4 is y= 3/(sqrt(2))x+3/(sqrt(2))-(3pi)/(4sqrt(2))