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ACTIVITY IN BASIC CALCULUS
BASIC RULES IN DERIVATIVE
Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.
1. f(x) = -4x5 + ______x-4- 2468
2. f (x) =____x-3- _____x1/4 - 12x
3.f(x)= ____ "\\sqrt[4]{x}" 3 - "\\underset{x^6}{=}" + "\\frac{2}{3}" x6
4.f (x) = "\\underset{x^-6}{=}" - ____x2 + "\\sqrt[4]{x}"
Differentiate the following functions:
1.y=1/2(3x^2+1)^2
2.y=3+4x-x^2
Find the derivative of the following
1.y=√x^2-2/2x^3+1
2.y=x^2√6x^2/3x
3.y=2x^2√x
Evaluate the following integrals
(1) integral of {(10x^9+40x^4+3)√(x^10+8x^5+3x+5)} DX
(2) integral of {1/[(x-5)(x^2+4)]} dx
Write whether the following data are discrete or continuous give reason on support of your answer
(1) waiting time of metro when a person reaches metro station
(2)Number of pages in each of the 50 books having some mistakes
(3) Height of students of IGNOU who enrolled in 2021
(4) Number of children in a family in a colony of 100 families
a researcher investigated the relationship between monthly income and years of service in a company. using the data from 20 workers, the computed correlation coefficient was found to be 0.25. is the computed r significant at 0.05 level of significance?
A researcher investigated the relationship between monthly income and years of service in a company.
Using the data from 20 workers, the computed correlation coefficient was found to be 0.25. Is the
computed r significant at 0.05 level of significance?
Read and analyze the following situations and supply the values of the following variables (if
there is any). On the third column, write known on the space provided if the situation gives
or can compute the value of the variance, otherwise write unknown. Identify also the formula
to be used to estimate the standard error of the mean by writing the symbols of, when the
population variance is known and sawhen the population variance is unknown,
Situation:
Consider a population consisting of 1, 2, 3, 4, 5, 8,
9, and 11. Samples of size 3 are drawn from this
population.
•Given: N=
n=
•Answer:
•Standard Error Formula:
A conical vessel has a height of 24 cm and a base diameter of 12cm. It holds water to a depth of 18 cm above its vertex. Find the volume in cubic cm of its content.
How to simplify (2x3)3
ACTIVITY IN BASIC CALCULUS
BASIC RULES IN DERIVATIVE
Name: ____________________ Grade & Section: _______________ Date: __________
Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.
1. f (x) = -4x5 +___x-4 - 2468
2. f (x) =____x-3 - ____x1/4 - 12x
3.f (x) =____"\\sqrt[4]{x}" 3 - "\\xlongequal{x}"
4. ( )
√
#340153 on Dec 2023