Find an equation of the line that is tangent to the curve y = e^x sin x at the point (0,0).

Question

Tangent Line Equation

Answer 1

To draw the tangent line, you need the slope at the specified point. To get the equation for the slope, take the 1st derivative of the equation, and then evaluate it at the point (0, 0).

Finally, write the equation of the tangent line using y = mx + b. Because the line goes through (0, 0), b is zero, so you'll just have y = mx.