There is a solution to 97 exercise problems in the syllabus.It's a very important chapter in 11th standard.This chapter should be mastered by a student if they want to get good marks.Derivative concepts are the focus of the chapter as well as tools that are developed based on the derivatives that are used in real life.If the instance happens over a period of time and the average rate is x that's when we know it's happening.

The averate rate will remain unchanged.For example if a student wants to score 90% agreegate score of all subjects.He/she has to score higher in some subjects than others as he/she could score lower in other subjects.The average rate of score is the time rate of change of score which is defined by the number of subjects and total score.Any moving object is the same as this one.

There is a runner running at a speed of 20 km/h.The measure of the rate of speed is the distance traveled divided by the time.If the runner is within 3 km of the start of the run the speed is 3/6*60.This is comparable to 30 km/hr.This is not a true way to measure rate.

The speed is predicted to be (5-3)/(8-6)*60This is the same as 60 km/hour.Four major problems are solved by calculus mathematicians.We will get to see the first two in the coming section.For a circle the tangent to the circle will cross the border of the circle which is the same as the radius that goes through it.

There are situations in which a curve only passes once at the border.There are other occurances where the tangent might pass through multiple points in a curve.The easiest way to calculate the angle of a curve is to find the slope of the line that goes through the two points in the curve.The curve's slope is determined by the differential quotient.There is a dividing line between y and x.

The slope is also known as the curve slope.Using the position function thevelocity is calculated.The change in distance should be divided by the change in time.It would be simpler to calculate the velocity using the position function if we knew the time and distance at two point in time.The function of x is the basis for the logic of differentiation.

We're going to differentiate y and x with respect to x.This is how it will result in dy/dx.We will get f'(x) if we differentiate f(x)(y)(xIt can also be written as y'.We're going to see a few examples of differentiating y with x.

The difference between x10 and x9 will result in 10 x9.The willlut is different in 20 x19.x-4 differentiating will be -2 x-4.-11x-12 will be differentiated with x-11.The difference will be 1/2x1/2.

When we differentiate y with respect to x we'll get a dy/dx of 10 x9 + 7 x6 + 5 x4 + 3 x2).If we differentiate a constant we will not get any.Any element without x is also called constant.We get 6x0 when we differentiate which will lead to zero.Differentiating x3 will result in 3 x2.