Tangent to a Curve

Let us study about Tangent to the Curve,

We know that Tangent to a curve at a given point is a line that touches the curve at that point and has the slope as the curve at that point. Normal to a curve is the line that is perpendicular to the Tangent at that point.

Why do we need all these tangent normal? This finds application in Physics. The spokes of the wheel are placed normal to the circular shape of the wheel at that point where it is connected with the centre.

If a car skids on the road, then the car continues in the direction tangent to the curve. well this helps in designing the car. Again, we find angular momentum, torque, gravity, velocity, acceleration where differentiation plays a major role. The analysis of study of these motions lead to better designing in car, rocket etc.

I hope the above explanation was useful, now let us study about Exponential Series