Here you can find the solution to 97 exercise problems.The chapter is very important in 11th standard.If a student wishes to get good marks mastering this chapter is a must.A special focus is given to the derivatives that are applied in real life in the chapter as well as the tools that are developed based on them.If we know the average of a rate it will be x.

Only the averate rate will remain as X.For example if a student wants to score 90% on all their subjects.He/she has to score high in some subjects and low in others.The time rate of change of score is defined by the total score till now which is the average rate of score.A moving object is the same as any other moving object.

A runner at a speed of 20km/hr.At any point in time the measure of speed is the distance traveled divided by time.At 6 minutes if the runner is 3 km from the start the speed would be 3/6*60.This is more than 30 km per hour.This is just a measure.

The rate of speed will go up toEDThe speed is equal to 60km/hr.The following four major problems can be solved in calculus.The next section will show the first two details.For a circle the tangent to the circle will cross the border of the circle and the radius will be the same as that point.

There are some scenarios where the curve only passes once through the border.There are other occurances where the tangent passes through multiple points.The easiest way to find the slope of the line that passes through the two points in a curve is to use a calculator.A slope of the curve is found using differential quotient.It is divided into y and x.

The slope of the curve is also referred to as the slope of the tangent lineThe position function is used to calculate the Velocity.The change in distance would be divided by time to simplify this.To calculate the velocity we need to measure the time and distance at two points in time.Y is always a function of x that's the logic of the differentiation.

When we differentiate y with x we will do it with respect to x.This will be seen as dy/dx.We'll get f'(x) if we differentiate f(x)(X)(Y' can be written as dy/dx in the same way.We would like to see examples of differentiating y with x.

10 x9 will result from x10) differentiating.The willlut in 20 x19 is called x20 differentiating.There will be a result of x-2 differentiating.Differentiating x-11 will lead to a different result.A differentiating x1/2 results in 1/2x1/2.

When we differentiate y with respect to x we will get dy/dx of 10 x9 + 7 x6 + 5 x4 + 3 x 2.If we distinguish a constant we will get zero.Any element that doesn't have x is known as constant.We get zero because we get 6x0 when we differentiate.Changing the number of x3 will result in 0 x2 and 3 x2.