What is the tangent of f(x)=11sin(x),\at x=((3pi))/4 ?

The tangent of f(x)=11sin(x),\at x=((3pi))/4 is y=-(11)/(sqrt(2))x+(11)/(sqrt(2))+(33pi)/(4sqrt(2))

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tangent of f(x)=11sin(x),\at x=((3pi))/4

tangent of

f (x) = 11 sin (x), at x = \frac{( 3 π )}{4}

y = - \frac{11}{2} x + \frac{11}{2} + \frac{33 π}{4 2}

Solution steps

Find the tangent point:

(\frac{3 π}{4}, \frac{11}{2})

Find the slope of

f (x) = 11 sin (x) : \frac{df ( x )}{d x} = 11 cos (x)

Compute the slope of

f (x) = 11 sin (x)

x = \frac{3 π}{4} : m = - \frac{11}{2}

Find the line with slope m=

- \frac{11}{2}

and passing through

(\frac{3 π}{4}, \frac{11}{2}) : y = - \frac{11}{2} x + \frac{11}{2} + \frac{33 π}{4 2}

y = - \frac{11}{2} x + \frac{11}{2} + \frac{33 π}{4 2}

\int_{1}^{4} \frac{( 2 x + 1 )}{2 x} d x

\int sin (2 x) (3 - cos (2 x))^{2} d x

x \to 2 lim (\frac{1}{x ^{2} - 4 x + 4})

\frac{5}{s} - \frac{5}{s} e^{- 5 s}

n = 0 \sum \infty - (- 1)^{n + 1}

What is the tangent of f(x)=11sin(x),\at x=((3pi))/4 ?
The tangent of f(x)=11sin(x),\at x=((3pi))/4 is y=-(11)/(sqrt(2))x+(11)/(sqrt(2))+(33pi)/(4sqrt(2))