Question: Find the tangent line to the graph of f(x) = 3 - 4e^x at x = 0.

My work:

dy/dx = -4e^x

Slope at x = 0 is m = -4

Tangent line equation:

T(x) = -1 - 4 (x - 0)

Is this correct?

Any help is appreciated

- Oct 21st 2010, 09:46 AMiluvmathbutitshardFind the tangent line to the graph of f(x) = 3 - 4e^x at x = 0. Is my work correct?
Question: Find the tangent line to the graph of f(x) = 3 - 4e^x at x = 0.

My work:

dy/dx = -4e^x

Slope at x = 0 is m = -4

Tangent line equation:

T(x) = -1 - 4 (x - 0)

Is this correct?

Any help is appreciated - Oct 21st 2010, 10:06 AMUnknown008
Seems correct to me (Smile)

You can simplify to:

T(x) = -1 -4x