What is the tangent of f(x)=x^2+9,(-4,25) ?

The tangent of f(x)=x^2+9,(-4,25) is y=-8x-7

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tangent of f(x)=x^2+9,(-4,25)

tangent of

f (x) = x^{2} + 9, (- 4, 25)

y = - 8 x - 7

Solution steps

Find the slope of

f (x) = x^{2} + 9 : \frac{df ( x )}{d x} = 2 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 = - 8

Find the line with slope m=

- 8

and passing through

(- 4, 25) : y = - 8 x - 7

y = - 8 x - 7

What is the tangent of f(x)=x^2+9,(-4,25) ?
The tangent of f(x)=x^2+9,(-4,25) is y=-8x-7