What is the tangent of 4sin(x) ?

The tangent of 4sin(x) is y=4cos(a_{0})x+4sin(a_{0})-4cos(a_{0})a_{0}

Popular >

tangent of 4sin(x)

tangent of

4 sin (x)

y = 4 cos (a_{0}) x + 4 sin (a_{0}) - 4 cos (a_{0}) a_{0}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 4 sin (a_{0}))

Find the slope of

y = 4 sin (x) : \frac{d y}{d x} = 4 cos (x)

Compute the slope of

y = 4 sin (x)

x = a_{0} : m = 4 cos (a_{0})

Find the line with slope m=

4 cos (a_{0})

and passing through

(a_{0}, 4 sin (a_{0})) : y = 4 cos (a_{0}) x + 4 sin (a_{0}) - 4 cos (a_{0}) a_{0}

y = 4 cos (a_{0}) x + 4 sin (a_{0}) - 4 cos (a_{0}) a_{0}

\frac{d}{d x} (5 x^{\frac{2}{3}})

3 y y^{^{'}} + 2 x = 0

\frac{d}{d x} \frac{5}{( 7 - x ^{2} ) ^{5}}

12 x^{5} - 8 x^{4} + 20 x^{3}

\frac{d}{d x} (\frac{sin ( 2 x + 1 )}{cos ( - 1 - 2 x )})

What is the tangent of 4sin(x) ?
The tangent of 4sin(x) is y=4cos(a_{0})x+4sin(a_{0})-4cos(a_{0})a_{0}