What is the tangent of f(x)=5tan(x),\at x=1.57 ?

The tangent of f(x)=5tan(x),\at x=1.57 is y=7884741.10398…x-12372764.70530…

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tangent of f(x)=5tan(x),\at x=1.57

tangent of

f (x) = 5 tan (x), at x = 1.57

y = 7884741.10398 \dots x - 12372764.70530 \dots

Solution steps

Find the tangent point:

(1.57, 5 tan (1.57))

Find the slope of

f (x) = 5 tan (x) : \frac{df ( x )}{d x} = 5 sec^{2} (x)

Compute the slope of

f (x) = 5 tan (x)

x = 1.57 : m = 7884741.10398 \dots

Find the line with slope m=

7884741.10398 \dots

and passing through

(1.57, 5 tan (1.57)) : y = 7884741.10398 \dots x - 12372764.70530 \dots

y = 7884741.10398 \dots x - 12372764.70530 \dots

\int (cos (t))^{2} d t

x \to 0 lim (\frac{sin ( 3 x )}{sin ( 6 x )})

\int 3 e^{x} - 9 cos (x) + C d x

4 x^{3}

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

What is the tangent of f(x)=5tan(x),\at x=1.57 ?
The tangent of f(x)=5tan(x),\at x=1.57 is y=7884741.10398…x-12372764.70530…