# Differential Calculus - Quiz

## Quiz by Dr. Dishant Pandya

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10 questions

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- Q1What is the derivative of f(x) = 4x^3?f'(x) = 8x^2f'(x) = 12x^2f'(x) = 6x^2f'(x) = 4x^230s
- Q2Find the indefinite integral of f(x) = 2x^2 + 3x + 1.F(x) = x^3 + x^2 + x + CF(x) = (3/2)x^3 + x^2 + x + CF(x) = (2/3)x^3 + (3/2)x^2 + x + CF(x) = x^4 + (3/2)x^3 + x + C30s
- Q3What is the limit of f(x) = 3x^2 + 2x - 1 as x approaches 2?13715930s
- Q4Find the derivative of f(x) = sin(x) + cos(x)f'(x) = -cos(x) + sin(x)f'(x) = sin(x) + cos(x)f'(x) = -sin(x) - cos(x)f'(x) = cos(x) - sin(x)30s
- Q5What is the range of the function f(x) = 2x - 5?Odd integersAll real numbersPositive real numbersNegative real numbers30s
- Q6What is the value of the definite integral of f(x) = 3x^2 - 2x + 1 from x = 0 to x = 2?5119
5

30s - Q7Find the derivative of f(x) = e^x + 2x^3 - cos(x)f'(x) = e^x + 2x^3 + cos(x)f'(x) = e^x - 6x^2 + sin(x)f'(x) = e^x + 6x^2 - sin(x)f'(x) = e^x + 6x^2 + sin(x)30s
- Q8Find the value of the limit lim(x->0) (3x^2 + 2x) / x023130s
- Q9What is the derivative of f(x) = ln(x) + 3x^2?f'(x) = ln(x) + 6x^2f'(x) = 1/x + 3xf'(x) = 1/x - 6xf'(x) = 1/x + 6x30s
- Q10Find the value of the integral ∫(2x - 3) dx from x = 1 to x = 4.161220830s