What is the slope of the function y = a + 2bx^2 ?
1 Answer
Dec 6, 2017
The slope of the tangent at any particular
Explanation:
This is not a particularly well worded question The given curve represents a quadratic function and therefore the "slope" of the function does not exist as we can only measure the slope of a straight line.
Instead we can consider the slope of the tangent to the curve at any particular given point, and this is given by the derivative:
We have:
y = a + 2bx^2
Differentiating wrt
dy/dx = 4bx
Hence, the slope of the tangent at any particular