What is the tangent of y=3sec(x) ?

The tangent of y=3sec(x) is y=3sec(a_{0})tan(a_{0})x+3sec(a_{0})-3sec(a_{0})tan(a_{0})a_{0}

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tangent of y=3sec(x)

tangent of

y = 3 sec (x)

y = 3 sec (a_{0}) tan (a_{0}) x + 3 sec (a_{0}) - 3 sec (a_{0}) tan (a_{0}) a_{0}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 3 sec (a_{0}))

Find the slope of

y = 3 sec (x) : \frac{d y}{d x} = 3 sec (x) tan (x)

Compute the slope of

y = 3 sec (x)

x = a_{0} : m = 3 sec (a_{0}) tan (a_{0})

Find the line with slope m=

3 sec (a_{0}) tan (a_{0})

and passing through

(a_{0}, 3 sec (a_{0})) : y = 3 sec (a_{0}) tan (a_{0}) x + 3 sec (a_{0}) - 3 sec (a_{0}) tan (a_{0}) a_{0}

y = 3 sec (a_{0}) tan (a_{0}) x + 3 sec (a_{0}) - 3 sec (a_{0}) tan (a_{0}) a_{0}

\frac{d}{d x} (uv)

\int \frac{x ^{2}}{1 - x ^{3}} d x

y = 8 - x^{2}, y = x^{2}

(x^{2} + 5)^{3}

y^{^{''}} + 3 y^{^{'}} = 12

What is the tangent of y=3sec(x) ?
The tangent of y=3sec(x) is y=3sec(a_{0})tan(a_{0})x+3sec(a_{0})-3sec(a_{0})tan(a_{0})a_{0}