# Finding the Normal Equations

A normal to a curve is a straight line passing through the point where the tangent touches the curve and is perpendicular (at right angles) to the tangent at that point. The gradient of the tangent to a curve is $m$, then the gradient of the normal is $\displaystyle -\dfrac{1}{m}$, as the product of the […]

# Finding Equations of Tangent Line

Consider a curve $y=f(x)$. A tangent to a curve is a straight line which touches the curve at a given point and represents the gradient of the curve at that point.If $A$ is the point with $x$-coordinate $a$, then the gradient of the tangent line to the curve at this point is $f'(a)$. The equation […]