Page:Calculus Made Easy.pdf/100

 negative value; hence $$\frac {dy}{dx}$$will have negative sign also.

If the “curve” happens to be a straight line, like that in Fig. 12, the value of $$\frac {dy}{dx}$$ will be the same at all points along it. In other words its slope is constant.



If a curve is one that turns more upwards as it goes along to the right, the values of $$\frac {dy}{dx}$$ will become



greater and greater with the increasing steepness, as in Fig. 13.