In mathematics, the tangent line to a curve at a point is a straight line that touches the curve at this point only. The tangent line can provide valuable insights into the properties of the curve, ...

In the context of functions, a tangent line refers to a line that touches the graph of a function at exactly one point without crossing it. The equation for calculating tangent lines in this situation ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...

To find the tangent line to a curve at a point P we first pick another point on the curve a little bit away from P. Call this point Q. Do this below by clicking "Another Point". Then connect these two ...

Any straight line graph has a constant gradient, which is calculated by the change in 𝑦 divided by the change in 𝑥, along any section of the graph. The gradient is measuring the steepness of the ...

Finding the slope of a linear function is straightforward. Furthermore the slope is the same at each point on the function. However this is not the case with non-linear functions. A non-linear ...