| Question 1. Use differential rule to find the derivatives
1>x^3+2e^x
2>y=x sin x |
| Answer: |
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| Question 2. The marginal cost of manufacturing a certain item is given by
C(x) = dc/dx=2+0.15x
Fins the total cost function c(x).Given that c(0)=100 |
| Answer: |
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| Question 3. Find the solution of square root of x dy/dx = xy; y=4 when x=1 |
| Answer: |
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| Question 4. A reservoir of water is being emptied in such a manner that the rate at which water is flowing out at any instant is proportional to quantity of in it at that instant. If one third of water flows out in5minutes, show that four-ninths of original quantity of water will be left in the reservoir after 10 minutes. |
| Answer: |
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| Question 5. find the derivative of y= (x)(square root of 1-Xsquared) |
| Answer: |
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| Question 6. Given f(x,y) = 2e^x + 3x^2 y + 5 y find fx, fy, and fyx (these are partial derivatives) |
| Answer: |
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