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

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

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

tangent of

f (x) = 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

f (x) = 3 sin (x) : \frac{df ( x )}{d x} = 3 cos (x)

Compute the slope of

f (x) = 3 sin (x)

x = \frac{π}{4} : 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}

f (x) = x^{2} - 4 x + 3, at x = 1

\int \frac{15 arctan ( x )}{x ^{2}} d x

\int_{x^{2}}^{1} ln (2 t^{2} + 1) d t

n = 5 \sum \infty e^{3 - 2 n}

\int 3 t^{2} sin (2 t^{3} + 1) d t

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