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Determine the equation the tangent line on curve 4e^x on (0,4).

Since derivative of 4e^x =4e^x, then I plugged in 0 for X and the slope I got was 4. Then I wrote the equation and got y=4x +4

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dy/dx=4e^x, and at x=0, 4e^0=4
so slope is 4. And your equation is correct.

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