What is the tangent of f(x)=5cos(x),\at x= pi/3 ?

The tangent of f(x)=5cos(x),\at x= pi/3 is y=-(5sqrt(3))/2 x+5/2+(5pi)/(2sqrt(3))

Popular >

tangent of f(x)=5cos(x),\at x= pi/3

tangent of

f (x) = 5 cos (x), at x = \frac{π}{3}

y = - \frac{5 3}{2} x + \frac{5}{2} + \frac{5 π}{2 3}

Solution steps

Find the tangent point:

(\frac{π}{3}, \frac{5}{2})

Find the slope of

f (x) = 5 cos (x) : \frac{df ( x )}{d x} = - 5 sin (x)

Compute the slope of

f (x) = 5 cos (x)

x = \frac{π}{3} : m = - \frac{5 3}{2}

Find the line with slope m=

- \frac{5 3}{2}

and passing through

(\frac{π}{3}, \frac{5}{2}) : y = - \frac{5 3}{2} x + \frac{5}{2} + \frac{5 π}{2 3}

y = - \frac{5 3}{2} x + \frac{5}{2} + \frac{5 π}{2 3}

cos (x), - cos (x) + 2

f (2) = \frac{x + 11}{x - 9}

\frac{x ^{4}}{2} - \frac{3}{2} x^{2} - x

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

\int (9 x^{5} - 6 x^{3} + 4 x) d x

What is the tangent of f(x)=5cos(x),\at x= pi/3 ?
The tangent of f(x)=5cos(x),\at x= pi/3 is y=-(5sqrt(3))/2 x+5/2+(5pi)/(2sqrt(3))