What is the tangent of y=7e^{-6x},(0,7) ?

The tangent of y=7e^{-6x},(0,7) is y=-42x+7

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tangent of y=7e^{-6x},(0,7)

tangent of

y = 7 e^{- 6 x}, (0, 7)

y = - 42 x + 7

Solution steps

Find the slope of

y = 7 e^{- 6 x} : \frac{d y}{d x} = - 42 e^{- 6 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 = - 42

Find the line with slope m=

- 42

and passing through

(0, 7) : y = - 42 x + 7

y = - 42 x + 7

What is the tangent of y=7e^{-6x},(0,7) ?
The tangent of y=7e^{-6x},(0,7) is y=-42x+7