What is the tangent of y=f(x),\at x=7 ?

The tangent of y=f(x),\at x=7 is y= d/(d7)(f(7))x+f(7)-d/(d7)(f(7))7

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tangent of y=f(x),\at x=7

tangent of

y = f (x), at x = 7

y = \frac{d}{d 7} (f (7)) x + f (7) - \frac{d}{d 7} (f (7)) 7

Solution steps

Find the tangent point:

(7, f (7))

Find the slope of

y = f (x) : \frac{d y}{d x} = \frac{df}{d 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 = \frac{d}{d 7} (f (7))

Find the line with slope m=

\frac{d}{d 7} (f (7))

and passing through

(7, f (7)) : y = \frac{d}{d 7} (f (7)) x + f (7) - \frac{d}{d 7} (f (7)) 7

y = \frac{d}{d 7} (f (7)) x + f (7) - \frac{d}{d 7} (f (7)) 7

What is the tangent of y=f(x),\at x=7 ?
The tangent of y=f(x),\at x=7 is y= d/(d7)(f(7))x+f(7)-d/(d7)(f(7))7