TS EAMCET Differentiation Questions PDF
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2013
TS EAMCET
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Summary
These are past differentiation questions and answers from the TS EAMCET exam. This document is a collection of calculus practice problems, focusing on differentiation rules and techniques. It includes problems from various TS EAMCET years, each question with possible answer choices.
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TS EAMCET Differentiation Questions 1. If f(x) = x^3 - 3x^2 + 4, then f'(2) is: A) 0 B) 2 C) 4 D) 6 [TS EAMCET 2018] 2. The derivative of sin^(-1)(x) with respect to x is: A) 1/sqrt(1 - x^2) B) -1/sqrt(1 - x^2) C) sqrt(1 - x^2) D) -sqrt(1 - x^2) [TS EAMCET 2019] 3. I...
TS EAMCET Differentiation Questions 1. If f(x) = x^3 - 3x^2 + 4, then f'(2) is: A) 0 B) 2 C) 4 D) 6 [TS EAMCET 2018] 2. The derivative of sin^(-1)(x) with respect to x is: A) 1/sqrt(1 - x^2) B) -1/sqrt(1 - x^2) C) sqrt(1 - x^2) D) -sqrt(1 - x^2) [TS EAMCET 2019] 3. If y = e^(2x), then dy/dx is: A) e^(2x) B) 2e^(2x) C) (1/2)e^(2x) D) 2e^x [TS EAMCET 2020] 4. The second derivative of f(x) = ln(x) is: A) -1/x^2 B) 1/x^2 C) 1/x D) -1/x [TS EAMCET 2021] 5. If f(x) = tan(x), then f''(x) is: A) 2sec^2(x)tan(x) B) sec^2(x) C) sec^2(x)tan(x) D) 2sec^2(x) [TS EAMCET 2022] 6. The derivative of cos(x^2) with respect to x is: A) -2xsin(x^2) B) -xsin(x^2) C) -2sin(x^2) D) -sin(x^2) [TS EAMCET 2017] 7. If y = x * e^x, then dy/dx is: A) e^x B) x * e^x C) (x + 1) * e^x D) (x - 1) * e^x [TS EAMCET 2016] 8. The derivative of ln(sin(x)) with respect to x is: A) cot(x) B) csc(x) C) sec(x) D) tan(x) [TS EAMCET 2015] 9. If f(x) = sqrt(x), then f'(x) is: A) 1/(2sqrt(x)) B) 1/sqrt(x) C) 2sqrt(x) D) sqrt(x) [TS EAMCET 2014] 10. The derivative of arctan(x) with respect to x is: A) 1/(1 + x^2) B) -1/(1 + x^2) C) 1/(1 - x^2) D) -1/(1 - x^2) [TS EAMCET 2013]
