Here you will find the solution to 97 exercise problems in 11th math.This chapter in the 11th standard is important.If a student wants to get good marks then mastering this chapter is important.Special focus is given toDerivative concepts and other related ones as well as the tools that are developed based on the derivatives that are used in real life.The average rate is x if the instance happens over a long time.

The averate rate will remain as is.For example a student wants to get a 90 percent agreegate score in all subjects.He/she has to score higher in some subjects than others as he/ she might score lower in other subjects.The time rate of change of score is the average rate of score over time.The same applies for a moving object.

A runner is running at a maximum speed of 20 km/hr.At any point in time the measure of rate of speed is the distance travelled divided by the time takenIf the runner is less than 3 km from the start of the run the speed is 3/6*60.This is the amount of time it would take to travel 30 km/hr.This is a partial measure of rate.

The rate of speed will go up to FIREThis is the speed at which it is equal.The following problems are solved by the mathematicians.We'll see the first two in the coming section.The circle's border will be crossed by the tangent to the circle and the radius that goes through it will be the same as before.

There are scenarios where a curve only passes one time through the border of the curve.There are some occurances where the curve might have multiple points in it.The easiest way to calculate the angle of the curve is to find the slope of the line that passes through the two points in the curve.Using differential quotient you can find the slope of the curve.It's divided into two parts delta y and Delta x.

The curve slope is also known as the slope of the tangent line.The velocity was calculated using a position function.Having a ration of the change in distance divided by the change in time would simplify this.It would be simpler to calculate thevelocity using the position function if we measured time and distance at two points in time.A function of x is the basis of the logic of differentiation.

We will distinguish y with respect to x now.This will result in dy/DX.We'll get f'(x) if we differentiate f(X)(x)(The same thing can be said about dy/dx.Let us look at a few examples.

There will be 10 x9 if x10 differentiates.There is a differentiating willlut in x20 and x19.-3 x-4 will result from x-2 differentiating.Differentiating x-11 will result in -11x-12).Differentiating x1/2 will yield 1/2x1/2.

When we differentiate y with respect to x we will get a dy/dx of 10 x9 + 7 x6 + 5 x4 and 3 x2.We will get zero if we different a constant.Any element that isn't x is considered a constant.6x0 when we differentiate we get zero.A difference of 5 + x3 will result in 0 x2.