What is the slope of the function

fun9vk

fun9vk

Answered question

2022-03-12

What is the slope of the function y=a+2bx2?

Answer & Explanation

Lindsey Rocha

Lindsey Rocha

Beginner2022-03-13Added 4 answers

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+2bx2
Differentiating wrt x we get:
dydx=4bx
Hence, the slope of the tangent at any particular x-coordinate is given by the 4bx.

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