Find slope of the line tangent to the graph of f(x)=−2x^2+4x at x=0.

Answer 1

The slope of the tangent line is the derivative of the function.

f(x) = -2x² + 4x so using the power rule we can find f '(x)

f '(x) = -4x + 4

To find the slope at x = 0, we evaluate the derivative function at x = 0 so:

f '(0) = -4(0) + 4

f '(0) = 4