Use the definition of the slope of a tangent line to find the slopes of the tangent lines to the graph of f(x) = -3x^2 at the points (0,0) and (-1,-3)

Question

Use the definition of the slope of a tangent line to find the slopes of the tangent lines to the graph of f(x) = -3x^2 at the points (0,0) and (-1,-3)

Answer 1

Hi Hailey, I am not quite sure about this solution but will try it 

 

Let y = f(x) = -3x^2

 

Slope of tangent is dy/dx = -6x

 

At point (0,0), dy/dx = -6(0) = 0

 

At point (-1,-3), dy/dx = -6(-1) = 6.

 

Please let me know whether it is right or not