There is a solution to 97 Exercise Problems in 11th maths for Tamilnadu syllabus.In 11th standard this chapter is important.A student needs to master this chapter in order to get good marks.Derivative concepts are the focus of the chapter along with tools that are developed based on the derivatives that are applied in real life.If the instance happens over a period of time the rate will be x.

There will be only averate rate remaining as x.A student might want to score 90 percent on all subjects.He/she needs to score higher than 90 in some subjects as he/she might score lower than 90 in other subjects.The average rate of score is the time rate of change of score which is defined by the number of subjectsThe same applies to any moving item.

There is a runner that is running at a speed of 20 km/hr.The distance travelled is divided by the time taken to measure the rate of speed.For 6 minutes the speed is 3/6*60 if the runner is 3 km from the start of the run.The speed is equal to 30km/HR.This is not really a measure of rate.

The rate of speed will go up to60 km per hour is equal to this.There are four major problems that mathematicians solve in Calculus.We are going to see the first two in the coming section.The circle's border will be crossed by the tangent to the circle which will be in line with the radius that goes through that point.

There are times when a curve only goes through the border once.There are occurances where the tangent might pass through multiple points.The easiest method to calculate the angle of a curve is to find the slope of the line that goes through the two points.Finding the slope of the curve is done using differential quotient.It's divided into two parts - Delta y and Delta x.

The slope of the curves is also known as the slope of the tangent line.position function is used for the calculation of the velocity.There would be a ration of the change in distance divided by the time.It would be simpler to use the position function to calculate the velocity if we measure the time and distance at two points in time.The logic says that Y is always a function of x.

We are going to differentiate x with respect to y.This will change into dy/dx.We will get f'(x) if we differentiate f(x)(x(xY' can be written as dy.We'd like to see examples of differentiating y and x.

There will be 10 x9 if x10 is differentiating.In 20 x19 the willlut is different.There will be -3 x-4.Differentiating x-11 will change the format of -11x-12.Differentiating x1/2 will result in 1/2x 1/2.

When we differentiate y with respect to x we will get dy/dx of 10 x9 + 7 x6 + 5 x4 + 2 x2We wont get zero if we differentiate a constant.It is called constant if there is no x in any element.When we differentiate we get 6*0*x-1 which means zero.3 x2 will result in 0 + 3 x3.