What is the tangent of f(x)=14xsin(x),\at x= pi/2 ?

The tangent of f(x)=14xsin(x),\at x= pi/2 is y=14x

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tangent of f(x)=14xsin(x),\at x= pi/2

tangent of

f (x) = 14 x sin (x), at x = \frac{π}{2}

y = 14 x

Solution steps

Find the tangent point:

(\frac{π}{2}, 7 π)

Find the slope of

f (x) = 14 x sin (x) : \frac{df ( x )}{d x} = 14 (sin (x) + x cos (x))

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 14

Find the line with slope m=

14

and passing through

(\frac{π}{2}, 7 π) : y = 14 x

y = 14 x

What is the tangent of f(x)=14xsin(x),\at x= pi/2 ?
The tangent of f(x)=14xsin(x),\at x= pi/2 is y=14x