Question
What are the rules of differentiation? Explain it with examples.
Differentiation is a fundamental concept in calculus that allows us to find the rate at which a function changes. It is used to calculate derivatives, which represent the slope or rate of change of a function at a given point. The rules of differentiation provide a set of techniques to find the derivative of a wide range of functions. Here are some of the key rules of differentiation:
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Inverse matrix
The data of advertisement expenditure (X) and sales (Y) of a company for 10 years shown in Table, determine the correlation coefficient between these variables
Advertisement Expenditure Rs. (X) | Sales Rs. (Y) | ||||||
6 | 60 | ||||||
5 | 55 | ||||||
5 | 50 | ||||||
4 | 40 | ||||||
3 | 35 | ||||||
2 | 30 | ||||||
2 | 20 | ||||||
1.5 | 15 | ||||||
1.0 | 11 | ||||||
0.5 | 10 |
Find the total revenue R(x)
How many units must the manufacturer produce and sell in order to maximize profit?
Differentiate between Descriptive and Inferential statistics.
At what rate percent compound interest per annum with Rs. 640 amount to Rs. 774.40 in 2 years?
For a Group of 50 male workers, the mean and standard deviation of their daily wages are Rs. 72 and Rs. 9 respectively. For another group of 40 female workers these are Rs. 54 and Rs. 6 respectively. Find the standard deviation for the combined group of 90 workers.
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