Here you can find the answer to 97 Exercise Problems in 11th math.It's an important chapter in the 11th standard.If a student wants to score good marks then mastering this chapter is a must.The chapter focuses on derivatives and other related concepts as well as the tools that are developed based on the derivatives that are applied in real life.If the instance happens over a period of time then the average rate is x.

The averate rate will remain as x after that.For example a student would like to score 90 percent on all subjects.He/she needs to score higher than 85% in some subjects as he/she might score lower than 85% in other subjects.The average rate of score is the time rate of change of score which is defined by total score till nowFor any moving object the same applies.

A runner is running at a rate of 20 km/hr.The measure of rate of speed is the distance travelled divided by the time takenThe speed is 3/6*60 at 6 minutes if the runner is 3 km from the start.This is the same speed as 30 km/hr.A true measure of rate is not this one.

The speed at which it will be is (5-3)/(8-6)*60.It is equal to 60 miles per hour.The following are some of the major problems solved by mathematicians.We will see the first two in the coming section.For a circle the tangent to the circle will cross the border of the circle and the radius that goes through that point.

There are scenarios where a curve only passes once through the border.In the curve there are other occurances where the tangent can pass through multiple points.The easiest way to find the slope of the line that passes through the two points is to use the curve as a reference.The slope of the curve is found using Differential quotient.It's divided into two parts: delta y and delta x.

The curve's slope is known as the slope of the tangent line.The position function is used to calculated the velocity.The change in distance divided by the change in time would simplify this.It would be simpler to use the position function to calculate the velocity if we measured the time and distance at two point in time.The function of x is the logic of differentiating.

We are going to distinguish y with respect to x.The result will be dy/DX.We will get f'(x) if we differentiate f(x)(X)(xIt's possible to write dy/dx as y'.There are many examples of differentiating y and x.

The difference between x10 and x9 is 10 x9.There are 20 x 19 differentiating willlut.x-2 differentiating will result in -2 x-4.In -11x-12 there will be differentiating x-11.Differentiating x1/2 will be 1/2x1/2.

When we differentiate y with respect to x we'll get dy/dx: 10 x9 + 7 x6 + 5 x4 + 3 x2We won't get any zero if we differentiate a constant.Any element without x is always constant.When we differentiate we get 6*0*x-1 which means zero.0 + 3 x2 will be the result of differentiating 5 + x3.