What is the tangent of f(x)=3sin(x) ?

The tangent of f(x)=3sin(x) is y=3cos(a_{0})x+3sin(a_{0})-3cos(a_{0})a_{0}

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tangent of f(x)=3sin(x)

tangent of

f (x) = 3 sin (x)

y = 3 cos (a_{0}) x + 3 sin (a_{0}) - 3 cos (a_{0}) a_{0}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

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

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 = a_{0} : m = 3 cos (a_{0})

Find the line with slope m=

3 cos (a_{0})

and passing through

(a_{0}, 3 sin (a_{0})) : y = 3 cos (a_{0}) x + 3 sin (a_{0}) - 3 cos (a_{0}) a_{0}

y = 3 cos (a_{0}) x + 3 sin (a_{0}) - 3 cos (a_{0}) a_{0}

e^{6 - 2 t}

\int_{0}^{1} x^{3} (2 x^{4} + 3)^{2} d x

\frac{10}{2 s + 1}

\int \frac{( x + 5 )}{( x ^{2} + 16 )} d x

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

What is the tangent of f(x)=3sin(x) ?
The tangent of f(x)=3sin(x) is y=3cos(a_{0})x+3sin(a_{0})-3cos(a_{0})a_{0}