# A curve is described by π¦=ππ₯2+ππ₯, where π and π are constants. a. Find an expression for the gradient of this curve at any point.

The gradient of a curve at any point can be expressed as the first derivative of the equation describing it. In this case, the equation is π¦=ππ₯2+ππ₯, where π and π are constants. Taking the first derivative with respect to x yields an expression for the gradient of this curve: d/dx(y) = 2px + q.

This expression can then be used to find the gradient of this curve at any point by simply substituting in a value for x; for example, if we take x = 2, then d/dx(y) = 2p(2)+q = 4p + q.

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