Question

what is slope of tangent

Answer 1

A point on this function is (-2,4). The derivative of this function is dy/dx=2x. So the slope of the line tangent to y at (-2,4) is 2.
Hope it helps

Answer 2

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• The derivative of the function at a point is the slope of the line tangent to the curve at the point, and is thus equal to the rate of change of the function at that point.

We call this limit the derivative. Its value at a point on the function gives us the slope of the tangent at that point. For example, let y=x2.