What is the tangent of y=x^4+8e^x,(0,8) ?

The tangent of y=x^4+8e^x,(0,8) is y=8x+8

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tangent of y=x^4+8e^x,(0,8)

tangent of

y = x^{4} + 8 e^{x}, (0, 8)

y = 8 x + 8

Solution steps

Find the slope of

y = x^{4} + 8 e^{x} : \frac{d y}{d x} = 4 x^{3} + 8 e^{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

(0, 8) : y = 8 x + 8

y = 8 x + 8

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What is the tangent of y=x^4+8e^x,(0,8) ?
The tangent of y=x^4+8e^x,(0,8) is y=8x+8