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Ece

The document contains problems related to calculus topics such as limits, derivatives, partial derivatives, and other concepts. It asks the reader to find limits, derivatives, partial derivatives, equations of tangent lines, extrema values, and rates of change for various functions and expressions.

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Hari Krushna
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27 views1 page

Ece

The document contains problems related to calculus topics such as limits, derivatives, partial derivatives, and other concepts. It asks the reader to find limits, derivatives, partial derivatives, equations of tangent lines, extrema values, and rates of change for various functions and expressions.

Uploaded by

Hari Krushna
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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a) Find lim

b)lim = 𝑛. 𝑎 ∶ 𝑠𝑡𝑎𝑡𝑒 𝑇𝑟𝑢𝑒/𝐹𝑙𝑎𝑠𝑒


→
𝑐) 𝑐𝑜𝑡𝑥 =----------------------------
𝑑) 𝑒 =----------------------------
Evaluate lim
→
Find the derivative of 𝑥 + 𝑙𝑜𝑔𝑥 + 𝑠𝑖𝑛𝑥
Find the derivative of Tanx . logx
Find , , 𝑖𝑓 𝑢 = 𝑎𝑥 + 2ℎ𝑥𝑦 + 𝑏𝑦 + 2𝑔𝑥 + 2𝑓𝑦 + 𝑐 𝑤ℎ𝑒𝑟𝑒 𝑎, 𝑏, 𝑐, 𝑓, 𝑔, ℎ 𝑎𝑟𝑒 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡𝑠.

Find the derivative of tan 𝑤. 𝑟. 𝑡. sin


………
Find , 𝑖𝑓 𝑦 = 𝑐𝑜𝑠𝑥
Find the second order partial derivatives of 𝑢 = 𝑥 + 𝑥𝑦 + 𝑦
Find the equation of the tangent and normal to the curve 3y=𝑥 -6x+17at (4,3)
Find the maximum & minimum values of 𝑓(𝑥) = 𝑥 − 6𝑥 + 9𝑥 + 15
Circular path of oil spreads on water and the area is growing at the rate of 8sqcm/min.
How fast is the radius increasing when radius is 5 cm.

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